Datasets:
christopher
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oeis

Dataset card Data Studio Files
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Community
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1999-12-11 03:00:00
2025-04-28 00:58:08
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A004901
Numbers that are the sum of at most 6 nonzero 10th powers.
[ "0", "1", "2", "3", "4", "5", "6", "1024", "1025", "1026", "1027", "1028", "1029", "2048", "2049", "2050", "2051", "2052", "3072", "3073", "3074", "3075", "4096", "4097", "4098", "5120", "5121", "6144", "59049", "59050", "59051", "59052", "59053", "59054", "60073", "60074", "60075", "60076", "60077", "61097", "61098", "61099", "61100" ]
[ "nonn" ]
9
1
3
null
null
N. J. A. Sloane
2015-03-14T01:16:56
oeisdata/seq/A004/A004901.seq
4800038f17c71875ffc46c0a0582d7ce
A004902
Numbers that are the sum of at most 7 nonzero 10th powers.
[ "0", "1", "2", "3", "4", "5", "6", "7", "1024", "1025", "1026", "1027", "1028", "1029", "1030", "2048", "2049", "2050", "2051", "2052", "2053", "3072", "3073", "3074", "3075", "3076", "4096", "4097", "4098", "4099", "5120", "5121", "5122", "6144", "6145", "7168" ]
[ "nonn" ]
9
1
3
null
null
N. J. A. Sloane
2015-03-14T01:16:43
oeisdata/seq/A004/A004902.seq
567d18df446e200fabf413fc27be425c
A004903
Numbers that are the sum of at most 8 nonzero 10th powers.
[ "0", "1", "2", "3", "4", "5", "6", "7", "8", "1024", "1025", "1026", "1027", "1028", "1029", "1030", "1031", "2048", "2049", "2050", "2051", "2052", "2053", "2054", "3072", "3073", "3074", "3075", "3076", "3077", "4096", "4097", "4098", "4099", "4100", "5120", "5121", "5122", "5123" ]
[ "nonn" ]
9
1
3
null
null
N. J. A. Sloane
2015-03-14T01:16:31
oeisdata/seq/A004/A004903.seq
a44286d9e307085cecdf8bf0bb8c599c
A004904
Numbers that are the sum of at most 9 nonzero 10th powers.
[ "0", "1", "2", "3", "4", "5", "6", "7", "8", "9", "1024", "1025", "1026", "1027", "1028", "1029", "1030", "1031", "1032", "2048", "2049", "2050", "2051", "2052", "2053", "2054", "2055", "3072", "3073", "3074", "3075", "3076", "3077", "3078", "4096", "4097", "4098", "4099", "4100" ]
[ "nonn" ]
9
1
3
null
null
N. J. A. Sloane
2015-03-14T01:16:19
oeisdata/seq/A004/A004904.seq
c8c415656b5813cd16590c416514e92c
A004905
Numbers that are the sum of at most 10 nonzero 10th powers.
[ "0", "1", "2", "3", "4", "5", "6", "7", "8", "9", "10", "1024", "1025", "1026", "1027", "1028", "1029", "1030", "1031", "1032", "1033", "2048", "2049", "2050", "2051", "2052", "2053", "2054", "2055", "2056", "3072", "3073", "3074", "3075", "3076", "3077", "3078", "3079", "4096", "4097", "4098", "4099", "4100", "4101", "4102", "5120", "5121", "5122", "5123" ]
[ "nonn" ]
17
1
3
[ "A004905", "A336820" ]
null
N. J. A. Sloane
2020-08-04T21:53:56
oeisdata/seq/A004/A004905.seq
c52b86a5df5c15aba15f6d342f93ff49
A004906
Numbers that are the sum of at most 11 nonzero 10th powers.
[ "0", "1", "2", "3", "4", "5", "6", "7", "8", "9", "10", "11", "1024", "1025", "1026", "1027", "1028", "1029", "1030", "1031", "1032", "1033", "1034", "2048", "2049", "2050", "2051", "2052", "2053", "2054", "2055", "2056", "2057", "3072", "3073", "3074", "3075", "3076", "3077", "3078" ]
[ "nonn" ]
9
1
3
null
null
N. J. A. Sloane
2015-03-14T01:15:53
oeisdata/seq/A004/A004906.seq
b45a5c69ea38c624befc9615a9b09c2f
A004907
Numbers that are the sum of at most 12 nonzero 10th powers.
[ "0", "1", "2", "3", "4", "5", "6", "7", "8", "9", "10", "11", "12", "1024", "1025", "1026", "1027", "1028", "1029", "1030", "1031", "1032", "1033", "1034", "1035", "2048", "2049", "2050", "2051", "2052", "2053", "2054", "2055", "2056", "2057", "2058", "3072", "3073", "3074", "3075", "3076", "3077", "3078", "3079", "3080", "3081", "4096", "4097", "4098" ]
[ "nonn" ]
9
1
3
null
null
N. J. A. Sloane
2015-03-14T01:15:41
oeisdata/seq/A004/A004907.seq
86538f91e16f8ed12190e9bce9905a94
A004908
Numbers that are the sum of at most 2 positive 11th powers.
[ "0", "1", "2", "2048", "2049", "4096", "177147", "177148", "179195", "354294", "4194304", "4194305", "4196352", "4371451", "8388608", "48828125", "48828126", "48830173", "49005272", "53022429", "97656250", "362797056", "362797057", "362799104", "362974203", "366991360", "411625181" ]
[ "nonn" ]
9
1
3
null
null
N. J. A. Sloane
2015-03-14T00:47:33
oeisdata/seq/A004/A004908.seq
1bd7c7ac59bafa2a2ea0b25e88ee6e29
A004909
Numbers that are the sum of at most 3 positive 11th powers.
[ "0", "1", "2", "3", "2048", "2049", "2050", "4096", "4097", "6144", "177147", "177148", "177149", "179195", "179196", "181243", "354294", "354295", "356342", "531441", "4194304", "4194305", "4194306", "4196352", "4196353", "4198400", "4371451", "4371452", "4373499", "4548598", "8388608", "8388609" ]
[ "nonn" ]
9
1
3
null
null
N. J. A. Sloane
2015-03-14T00:47:44
oeisdata/seq/A004/A004909.seq
d4bf684e34ec5bec90275f4b39245178
A004910
Numbers that are the sum of at most 4 positive 11th powers.
[ "0", "1", "2", "3", "4", "2048", "2049", "2050", "2051", "4096", "4097", "4098", "6144", "6145", "8192", "177147", "177148", "177149", "177150", "179195", "179196", "179197", "181243", "181244", "183291", "354294", "354295", "354296", "356342", "356343", "358390", "531441", "531442", "533489", "708588", "4194304" ]
[ "nonn" ]
9
1
3
null
null
N. J. A. Sloane
2015-03-14T00:47:54
oeisdata/seq/A004/A004910.seq
139649b6530d4b526ec24f8be60d7453
A004911
Numbers that are the sum of at most 5 positive 11th powers.
[ "0", "1", "2", "3", "4", "5", "2048", "2049", "2050", "2051", "2052", "4096", "4097", "4098", "4099", "6144", "6145", "6146", "8192", "8193", "10240", "177147", "177148", "177149", "177150", "177151", "179195", "179196", "179197", "179198", "181243", "181244", "181245", "183291", "183292", "185339", "354294", "354295", "354296", "354297" ]
[ "nonn" ]
15
1
3
null
null
N. J. A. Sloane
2017-11-06T23:28:10
oeisdata/seq/A004/A004911.seq
472954e5f203b26704988b3b8a28b891
A004912
Numbers that are the sum of at most 6 positive 11th powers.
[ "0", "1", "2", "3", "4", "5", "6", "2048", "2049", "2050", "2051", "2052", "2053", "4096", "4097", "4098", "4099", "4100", "6144", "6145", "6146", "6147", "8192", "8193", "8194", "10240", "10241", "12288", "177147", "177148", "177149", "177150", "177151", "177152", "179195", "179196", "179197", "179198", "179199", "181243" ]
[ "nonn" ]
11
1
3
null
null
N. J. A. Sloane
2017-11-06T23:30:22
oeisdata/seq/A004/A004912.seq
3c3f099fb23d9812f66e320a5dfa07cf
A004913
Numbers that are the sum of at most 7 positive 11th powers.
[ "0", "1", "2", "3", "4", "5", "6", "7", "2048", "2049", "2050", "2051", "2052", "2053", "2054", "4096", "4097", "4098", "4099", "4100", "4101", "6144", "6145", "6146", "6147", "6148", "8192", "8193", "8194", "8195", "10240", "10241", "10242", "12288", "12289", "14336", "177147", "177148", "177149", "177150", "177151", "177152" ]
[ "nonn" ]
16
1
3
null
null
N. J. A. Sloane
2017-11-06T23:32:33
oeisdata/seq/A004/A004913.seq
357ee86b9075cfd49324684c7a452097
A004914
Numbers that are the sum of at most 8 positive 11th powers.
[ "0", "1", "2", "3", "4", "5", "6", "7", "8", "2048", "2049", "2050", "2051", "2052", "2053", "2054", "2055", "4096", "4097", "4098", "4099", "4100", "4101", "4102", "6144", "6145", "6146", "6147", "6148", "6149", "8192", "8193", "8194", "8195", "8196", "10240", "10241", "10242", "10243", "12288", "12289", "12290", "14336", "14337", "16384" ]
[ "nonn" ]
11
1
3
null
null
N. J. A. Sloane
2017-11-07T00:13:13
oeisdata/seq/A004/A004914.seq
74765652829877116020b554c0506905
A004915
Numbers that are the sum of at most 9 positive 11th powers.
[ "0", "1", "2", "3", "4", "5", "6", "7", "8", "9", "2048", "2049", "2050", "2051", "2052", "2053", "2054", "2055", "2056", "4096", "4097", "4098", "4099", "4100", "4101", "4102", "4103", "6144", "6145", "6146", "6147", "6148", "6149", "6150" ]
[ "nonn" ]
9
1
3
null
null
N. J. A. Sloane
2015-03-14T00:48:51
oeisdata/seq/A004/A004915.seq
7cd2e68798c53402c5bdfdd98d8cf85b
A004916
Numbers that are the sum of at most 10 positive 11th powers.
[ "0", "1", "2", "3", "4", "5", "6", "7", "8", "9", "10", "2048", "2049", "2050", "2051", "2052", "2053", "2054", "2055", "2056", "2057", "4096", "4097", "4098", "4099", "4100", "4101", "4102", "4103", "4104", "6144", "6145", "6146", "6147", "6148", "6149", "6150", "6151" ]
[ "nonn" ]
9
1
3
null
null
N. J. A. Sloane
2015-03-14T00:49:03
oeisdata/seq/A004/A004916.seq
ad0c82cd7e0cd1df203c7361d4da6249
A004917
Numbers that are the sum of at most 11 positive 11th powers.
[ "0", "1", "2", "3", "4", "5", "6", "7", "8", "9", "10", "11", "2048", "2049", "2050", "2051", "2052", "2053", "2054", "2055", "2056", "2057", "2058", "4096", "4097", "4098", "4099", "4100", "4101", "4102", "4103", "4104", "4105", "6144", "6145", "6146", "6147", "6148", "6149", "6150", "6151", "6152", "8192", "8193", "8194", "8195", "8196", "8197", "8198" ]
[ "nonn" ]
19
1
3
[ "A004917", "A008455", "A336820" ]
null
N. J. A. Sloane
2020-12-03T07:35:30
oeisdata/seq/A004/A004917.seq
67002f54f81b38105a7e1d88e787cadf
A004918
Numbers that are the sum of at most 12 positive 11th powers.
[ "0", "1", "2", "3", "4", "5", "6", "7", "8", "9", "10", "11", "12", "2048", "2049", "2050", "2051", "2052", "2053", "2054", "2055", "2056", "2057", "2058", "2059", "4096", "4097", "4098", "4099", "4100", "4101", "4102", "4103", "4104", "4105", "4106", "6144", "6145", "6146", "6147" ]
[ "nonn" ]
9
1
3
null
null
N. J. A. Sloane
2015-03-14T00:49:24
oeisdata/seq/A004/A004918.seq
a7b5f1bc6275e1d710a11eaa979b20e5
A004919
a(n) = floor(n*phi^4), where phi is the golden ratio, A001622.
[ "0", "6", "13", "20", "27", "34", "41", "47", "54", "61", "68", "75", "82", "89", "95", "102", "109", "116", "123", "130", "137", "143", "150", "157", "164", "171", "178", "185", "191", "198", "205", "212", "219", "226", "233", "239", "246", "253", "260", "267", "274", "281", "287", "294", "301", "308" ]
[ "nonn" ]
50
0
2
[ "A000201", "A001950", "A004919", "A004920", "A004921", "A004922", "A004923", "A004924", "A004925", "A004926", "A004927", "A004928", "A004929", "A004930", "A004931", "A004932", "A004933", "A004934", "A004935", "A004976", "A066096", "A090909" ]
null
N. J. A. Sloane
2023-08-23T12:20:28
oeisdata/seq/A004/A004919.seq
3daa6676f14b5e8aff1a15cf4ae2b0a4
A004920
a(n) = floor(n*phi^5), where phi is the golden ratio, A001622.
[ "0", "11", "22", "33", "44", "55", "66", "77", "88", "99", "110", "121", "133", "144", "155", "166", "177", "188", "199", "210", "221", "232", "243", "255", "266", "277", "288", "299", "310", "321", "332", "343", "354", "365", "377", "388", "399", "410", "421", "432", "443", "454", "465", "476", "487", "499", "510", "521", "532", "543", "554", "565", "576", "587", "598" ]
[ "nonn" ]
20
0
2
[ "A001622", "A004919", "A004920", "A004921", "A004922", "A004923", "A004924", "A004925", "A004926", "A004927", "A004928", "A004929", "A004930", "A004931", "A004932", "A004933", "A004934", "A004935", "A004976", "A066096", "A090909" ]
null
N. J. A. Sloane
2023-10-27T09:04:15
oeisdata/seq/A004/A004920.seq
fd7a836b8f6fc7a74ca5ecd3e0e0704f
A004921
a(n) = floor(n*phi^6), phi = golden ratio, A001622.
[ "0", "17", "35", "53", "71", "89", "107", "125", "143", "161", "179", "197", "215", "233", "251", "269", "287", "305", "322", "340", "358", "376", "394", "412", "430", "448", "466", "484", "502", "520", "538", "556", "574", "592", "610", "628", "645", "663", "681", "699", "717", "735", "753", "771" ]
[ "nonn" ]
16
0
2
[ "A001622", "A004919", "A004920", "A004921", "A004922", "A004923", "A004924", "A004925", "A004926", "A004927", "A004928", "A004929", "A004930", "A004931", "A004932", "A004933", "A004934", "A004935", "A004976", "A066096", "A090909", "A098317" ]
null
N. J. A. Sloane
2023-10-27T08:44:20
oeisdata/seq/A004/A004921.seq
65b92fc1ba7d54c6a8a20dec5c487c9d
A004922
a(n) = floor(n*phi^7), where phi is the golden ratio, A001622.
[ "0", "29", "58", "87", "116", "145", "174", "203", "232", "261", "290", "319", "348", "377", "406", "435", "464", "493", "522", "551", "580", "609", "638", "667", "696", "725", "754", "783", "812", "841", "871", "900", "929", "958", "987", "1016", "1045", "1074", "1103", "1132", "1161", "1190", "1219", "1248", "1277", "1306", "1335", "1364" ]
[ "nonn" ]
38
0
2
[ "A001622", "A004919", "A004920", "A004921", "A004922", "A004923", "A004924", "A004925", "A004926", "A004927", "A004928", "A004929", "A004930", "A004931", "A004932", "A004933", "A004934", "A004935", "A004962", "A004976", "A066096", "A090909" ]
null
N. J. A. Sloane
2023-08-25T08:50:17
oeisdata/seq/A004/A004922.seq
ec639a980dd2c5a621051bce0ad4d4f7
A004923
a(n) = floor(n*phi^8), where phi is the golden ratio, A001622.
[ "0", "46", "93", "140", "187", "234", "281", "328", "375", "422", "469", "516", "563", "610", "657", "704", "751", "798", "845", "892", "939", "986", "1033", "1080", "1127", "1174", "1221", "1268", "1315", "1362", "1409", "1456", "1503", "1550", "1597", "1644", "1691", "1738", "1785" ]
[ "nonn" ]
18
0
2
[ "A001622", "A004919", "A004920", "A004921", "A004922", "A004923", "A004924", "A004925", "A004926", "A004927", "A004928", "A004929", "A004930", "A004931", "A004932", "A004933", "A004934", "A004935", "A004976", "A066096", "A090909" ]
null
N. J. A. Sloane
2023-08-25T08:50:13
oeisdata/seq/A004/A004923.seq
ab2c3b352c5b17e4cad46d785d011c06
A004924
a(n) = floor(n*phi^9), where phi is the golden ratio, A001622.
[ "0", "76", "152", "228", "304", "380", "456", "532", "608", "684", "760", "836", "912", "988", "1064", "1140", "1216", "1292", "1368", "1444", "1520", "1596", "1672", "1748", "1824", "1900", "1976", "2052", "2128", "2204", "2280", "2356", "2432", "2508", "2584", "2660", "2736" ]
[ "nonn" ]
21
0
2
[ "A001622", "A004919", "A004920", "A004921", "A004922", "A004923", "A004924", "A004925", "A004926", "A004927", "A004928", "A004929", "A004930", "A004931", "A004932", "A004933", "A004934", "A004935", "A004976", "A066096", "A090909" ]
null
N. J. A. Sloane
2023-08-25T08:50:09
oeisdata/seq/A004/A004924.seq
4987d2a219231e1ed76632ce27a1f9ff
A004925
a(n) = floor(n*phi^10), where phi is the golden ratio, A001622.
[ "0", "122", "245", "368", "491", "614", "737", "860", "983", "1106", "1229", "1352", "1475", "1598", "1721", "1844", "1967", "2090", "2213", "2336", "2459", "2582", "2705", "2828", "2951", "3074", "3197", "3320", "3443", "3566", "3689", "3812", "3935", "4058", "4181" ]
[ "nonn" ]
16
0
2
[ "A001622", "A004919", "A004920", "A004921", "A004922", "A004923", "A004924", "A004925", "A004926", "A004927", "A004928", "A004929", "A004930", "A004931", "A004932", "A004933", "A004934", "A004935", "A004976", "A066096", "A090909" ]
null
N. J. A. Sloane
2023-08-28T08:28:10
oeisdata/seq/A004/A004925.seq
181265a63505e7ef411c3005c9699ad0
A004926
a(n) = floor(n*phi^11), where phi is the golden ratio, A001622.
[ "0", "199", "398", "597", "796", "995", "1194", "1393", "1592", "1791", "1990", "2189", "2388", "2587", "2786", "2985", "3184", "3383", "3582", "3781", "3980", "4179", "4378", "4577", "4776", "4975", "5174", "5373", "5572", "5771", "5970", "6169", "6368", "6567", "6766" ]
[ "nonn" ]
14
0
2
[ "A001622", "A004919", "A004920", "A004921", "A004922", "A004923", "A004924", "A004925", "A004926", "A004927", "A004928", "A004929", "A004930", "A004931", "A004932", "A004933", "A004934", "A004935", "A004976", "A066096", "A090909" ]
null
N. J. A. Sloane
2023-08-28T08:28:18
oeisdata/seq/A004/A004926.seq
9c50ed8e68ba368998ef142f1fc14b98
A004927
a(n) = floor(n*phi^12), where phi is the golden ratio, A001622.
[ "0", "321", "643", "965", "1287", "1609", "1931", "2253", "2575", "2897", "3219", "3541", "3863", "4185", "4507", "4829", "5151", "5473", "5795", "6117", "6439", "6761", "7083", "7405", "7727", "8049", "8371", "8693", "9015", "9337", "9659", "9981", "10303", "10625" ]
[ "nonn" ]
13
0
2
[ "A001622", "A004919", "A004920", "A004921", "A004922", "A004923", "A004924", "A004925", "A004926", "A004927", "A004928", "A004929", "A004930", "A004931", "A004932", "A004933", "A004934", "A004935", "A004976", "A066096", "A090909" ]
null
N. J. A. Sloane
2023-08-28T08:28:14
oeisdata/seq/A004/A004927.seq
99141434ff2f8cb23d0ec4a2e962dfbf
A004928
a(n) = floor(n*phi^13), where phi is the golden ratio, A001622.
[ "0", "521", "1042", "1563", "2084", "2605", "3126", "3647", "4168", "4689", "5210", "5731", "6252", "6773", "7294", "7815", "8336", "8857", "9378", "9899", "10420", "10941", "11462", "11983", "12504", "13025", "13546", "14067", "14588", "15109", "15630", "16151" ]
[ "nonn" ]
14
0
2
[ "A001622", "A004919", "A004920", "A004921", "A004922", "A004923", "A004924", "A004925", "A004926", "A004927", "A004928", "A004929", "A004930", "A004931", "A004932", "A004933", "A004934", "A004935", "A004976", "A066096", "A090909" ]
null
N. J. A. Sloane
2023-09-05T18:49:02
oeisdata/seq/A004/A004928.seq
e979a046aba81371e3f27dbb758d7d44
A004929
a(n) = floor(n*phi^14), where phi is the golden ratio, A001622.
[ "0", "842", "1685", "2528", "3371", "4214", "5057", "5900", "6743", "7586", "8429", "9272", "10115", "10958", "11801", "12644", "13487", "14330", "15173", "16016", "16859", "17702", "18545", "19388", "20231", "21074", "21917", "22760", "23603", "24446" ]
[ "nonn" ]
13
0
2
[ "A001622", "A004919", "A004920", "A004921", "A004922", "A004923", "A004924", "A004925", "A004926", "A004927", "A004928", "A004929", "A004930", "A004931", "A004932", "A004933", "A004934", "A004935", "A004976", "A066096", "A090909" ]
null
N. J. A. Sloane
2023-09-05T18:49:54
oeisdata/seq/A004/A004929.seq
13c1c6de0e00cadcce207612ee4f21c6
A004930
a(n) = floor(n*phi^15), where phi is the golden ratio, A001622.
[ "0", "1364", "2728", "4092", "5456", "6820", "8184", "9548", "10912", "12276", "13640", "15004", "16368", "17732", "19096", "20460", "21824", "23188", "24552", "25916", "27280", "28644", "30008", "31372", "32736", "34100", "35464", "36828", "38192" ]
[ "nonn" ]
12
0
2
[ "A001622", "A004919", "A004920", "A004921", "A004922", "A004923", "A004924", "A004925", "A004926", "A004927", "A004928", "A004929", "A004930", "A004931", "A004932", "A004933", "A004934", "A004935", "A004976", "A066096", "A090909" ]
null
N. J. A. Sloane
2023-09-06T01:32:32
oeisdata/seq/A004/A004930.seq
1f6af8b2a7edaea36349f9f35f904d8d
A004931
a(n) = floor(n*phi^16), where phi is the golden ratio, A001622.
[ "0", "2206", "4413", "6620", "8827", "11034", "13241", "15448", "17655", "19862", "22069", "24276", "26483", "28690", "30897", "33104", "35311", "37518", "39725", "41932", "44139", "46346", "48553", "50760", "52967", "55174", "57381", "59588", "61795" ]
[ "nonn" ]
11
0
2
[ "A001622", "A004919", "A004920", "A004921", "A004922", "A004923", "A004924", "A004925", "A004926", "A004927", "A004928", "A004929", "A004930", "A004931", "A004932", "A004933", "A004934", "A004935", "A004976", "A066096", "A090909" ]
null
N. J. A. Sloane
2023-09-06T01:33:32
oeisdata/seq/A004/A004931.seq
3dbf2817fb69ebc88052b0aabe66df90
A004932
a(n) = floor(n*phi^17), where phi is the golden ratio, A001622.
[ "0", "3571", "7142", "10713", "14284", "17855", "21426", "24997", "28568", "32139", "35710", "39281", "42852", "46423", "49994", "53565", "57136", "60707", "64278", "67849", "71420", "74991", "78562", "82133", "85704", "89275", "92846", "96417" ]
[ "nonn", "easy" ]
12
0
2
[ "A001622", "A004919", "A004920", "A004921", "A004922", "A004923", "A004924", "A004925", "A004926", "A004927", "A004928", "A004929", "A004930", "A004931", "A004932", "A004933", "A004934", "A004935", "A004976", "A066096", "A090909" ]
null
N. J. A. Sloane
2023-09-12T04:40:44
oeisdata/seq/A004/A004932.seq
1f0db49684f56e0fd2aec467ed02e9e3
A004933
a(n) = floor(n*phi^18), where phi is the golden ratio, A001622.
[ "0", "5777", "11555", "17333", "23111", "28889", "34667", "40445", "46223", "52001", "57779", "63557", "69335", "75113", "80891", "86669", "92447", "98225", "104003", "109781", "115559", "121337", "127115", "132893", "138671", "144449", "150227" ]
[ "nonn", "easy" ]
18
0
2
[ "A001622", "A004919", "A004920", "A004921", "A004922", "A004923", "A004924", "A004925", "A004926", "A004927", "A004928", "A004929", "A004930", "A004931", "A004932", "A004933", "A004934", "A004935", "A004976", "A066096", "A090909" ]
null
N. J. A. Sloane
2023-09-13T12:39:50
oeisdata/seq/A004/A004933.seq
36d58b3db13d205ccb9fa9ea83a1607a
A004934
a(n) = floor(n*phi^19), where phi is the golden ratio, A001622.
[ "0", "9349", "18698", "28047", "37396", "46745", "56094", "65443", "74792", "84141", "93490", "102839", "112188", "121537", "130886", "140235", "149584", "158933", "168282", "177631", "186980", "196329", "205678", "215027", "224376", "233725" ]
[ "nonn", "easy" ]
12
0
2
[ "A001622", "A004919", "A004920", "A004921", "A004922", "A004923", "A004924", "A004925", "A004926", "A004927", "A004928", "A004929", "A004930", "A004931", "A004932", "A004933", "A004934", "A004935", "A004976", "A066096", "A090909" ]
null
N. J. A. Sloane
2023-09-12T04:41:09
oeisdata/seq/A004/A004934.seq
5465485db486bf2e831cff0841779f36
A004935
a(n) = floor(n*phi^20), where phi is the golden ratio, A001622.
[ "0", "15126", "30253", "45380", "60507", "75634", "90761", "105888", "121015", "136142", "151269", "166396", "181523", "196650", "211777", "226904", "242031", "257158", "272285", "287412", "302539", "317666", "332793", "347920", "363047", "378174" ]
[ "nonn", "easy" ]
21
0
2
[ "A001622", "A004919", "A004920", "A004921", "A004922", "A004923", "A004924", "A004925", "A004926", "A004927", "A004928", "A004929", "A004930", "A004931", "A004932", "A004933", "A004934", "A004935", "A004976", "A066096", "A090909" ]
null
N. J. A. Sloane
2023-09-13T02:13:39
oeisdata/seq/A004/A004935.seq
0a589896987d7ecd133c5e302631a3db
A004936
Numerator of (binomial(2*n-2,n-1)/n!)^2.
[ "1", "1", "1", "25", "49", "49", "121", "20449", "20449", "5909761", "17631601", "17631601", "55190041", "55190041", "55190041", "46414824481", "154341336769", "154341336769", "427538329", "585299972401", "585299972401", "983889253606081", "3438962627443561", "3438962627443561", "7596668444022826249" ]
[ "nonn", "frac" ]
23
1
4
[ "A000108", "A004936", "A005017" ]
null
N. J. A. Sloane
2025-02-16T08:32:28
oeisdata/seq/A004/A004936.seq
4226ec165818858ee106f43e88fc4324
A004937
a(n) = round(n*phi^2), where phi is the golden ratio, A001622.
[ "0", "3", "5", "8", "10", "13", "16", "18", "21", "24", "26", "29", "31", "34", "37", "39", "42", "45", "47", "50", "52", "55", "58", "60", "63", "65", "68", "71", "73", "76", "79", "81", "84", "86", "89", "92", "94", "97", "99", "102", "105", "107", "110", "113", "115", "118", "120", "123", "126", "128", "131", "134", "136", "139", "141", "144", "147", "149", "152", "154", "157" ]
[ "nonn" ]
24
0
2
[ "A001622", "A004937", "A004938", "A004955", "A007067", "A104457" ]
null
N. J. A. Sloane
2023-12-20T08:05:07
oeisdata/seq/A004/A004937.seq
926c8256b0ce4febb43b3387c6394392
A004938
a(n) = round(n*phi^3), where phi is the golden ratio, A001622.
[ "0", "4", "8", "13", "17", "21", "25", "30", "34", "38", "42", "47", "51", "55", "59", "64", "68", "72", "76", "80", "85", "89", "93", "97", "102", "106", "110", "114", "119", "123", "127", "131", "136", "140", "144", "148", "152", "157", "161", "165", "169", "174", "178", "182", "186", "191", "195", "199" ]
[ "nonn" ]
23
0
2
[ "A001622", "A004937", "A004938", "A004939", "A004955" ]
null
N. J. A. Sloane
2023-10-18T10:03:03
oeisdata/seq/A004/A004938.seq
4b64f8073b841ace170f4d861340702a
A004939
a(n) = round(n*phi^4), where phi is the golden ratio, A001622.
[ "0", "7", "14", "21", "27", "34", "41", "48", "55", "62", "69", "75", "82", "89", "96", "103", "110", "117", "123", "130", "137", "144", "151", "158", "164", "171", "178", "185", "192", "199", "206", "212", "219", "226", "233", "240", "247", "254", "260", "267", "274", "281", "288", "295", "302", "308" ]
[ "nonn" ]
23
0
2
[ "A001622", "A004939", "A004940", "A004941", "A004942", "A004943" ]
null
N. J. A. Sloane
2023-12-05T01:39:56
oeisdata/seq/A004/A004939.seq
186509ac9ac09f5146153fd13da8619b
A004940
a(n) = round(n*phi^5), where phi is the golden ratio, A001622.
[ "0", "11", "22", "33", "44", "55", "67", "78", "89", "100", "111", "122", "133", "144", "155", "166", "177", "189", "200", "211", "222", "233", "244", "255", "266", "277", "288", "299", "311", "322", "333", "344", "355", "366", "377", "388", "399", "410", "421", "433", "444", "455", "466", "477" ]
[ "nonn" ]
19
0
2
[ "A001622", "A004939", "A004940", "A004941", "A004942", "A004943" ]
null
N. J. A. Sloane
2023-12-05T01:36:01
oeisdata/seq/A004/A004940.seq
a104770068cff6b1e7c198cb85e0ea47
A004941
a(n) = round(n*phi^6), where phi is the golden ratio, A001622.
[ "0", "18", "36", "54", "72", "90", "108", "126", "144", "161", "179", "197", "215", "233", "251", "269", "287", "305", "323", "341", "359", "377", "395", "413", "431", "449", "467", "484", "502", "520", "538", "556", "574", "592", "610", "628", "646", "664", "682", "700", "718", "736", "754", "772" ]
[ "nonn" ]
19
0
2
[ "A001622", "A004939", "A004940", "A004941", "A004942", "A004943" ]
null
N. J. A. Sloane
2024-01-23T02:21:01
oeisdata/seq/A004/A004941.seq
7ffca8854413cf61ea283f7bbd9781e8
A004942
a(n) = round(n*phi^7), where phi is the golden ratio, A001622.
[ "0", "29", "58", "87", "116", "145", "174", "203", "232", "261", "290", "319", "348", "377", "406", "436", "465", "494", "523", "552", "581", "610", "639", "668", "697", "726", "755", "784", "813", "842", "871", "900", "929", "958", "987", "1016", "1045", "1074", "1103", "1132", "1161", "1190", "1219", "1248", "1278", "1307", "1336", "1365", "1394", "1423", "1452", "1481", "1510", "1539", "1568", "1597", "1626", "1655", "1684" ]
[ "nonn" ]
18
0
2
[ "A001622", "A004939", "A004940", "A004941", "A004942", "A004943" ]
null
N. J. A. Sloane
2023-10-27T10:02:57
oeisdata/seq/A004/A004942.seq
1328606f84cd2dbd1c30af6d4fa204cd
A004943
a(n) = round(n*phi^8), where phi is the golden ratio, A001622.
[ "0", "47", "94", "141", "188", "235", "282", "329", "376", "423", "470", "517", "564", "611", "658", "705", "752", "799", "846", "893", "940", "987", "1034", "1081", "1127", "1174", "1221", "1268", "1315", "1362", "1409", "1456", "1503", "1550", "1597", "1644", "1691", "1738", "1785" ]
[ "nonn" ]
19
0
2
[ "A001622", "A004939", "A004940", "A004941", "A004942", "A004943" ]
null
N. J. A. Sloane
2023-10-28T09:32:56
oeisdata/seq/A004/A004943.seq
e25158c293b828768e55488345fc59a1
A004944
a(n) = round(n*phi^9), where phi is the golden ratio, A001622.
[ "0", "76", "152", "228", "304", "380", "456", "532", "608", "684", "760", "836", "912", "988", "1064", "1140", "1216", "1292", "1368", "1444", "1520", "1596", "1672", "1748", "1824", "1900", "1976", "2052", "2128", "2204", "2280", "2356", "2432", "2508", "2584", "2660", "2736" ]
[ "nonn" ]
20
0
2
[ "A001622", "A004944" ]
null
N. J. A. Sloane
2023-10-29T00:31:58
oeisdata/seq/A004/A004944.seq
53c5e8663f1cc9b661d7ae745ab8b02e
A004945
a(n) = round(n*phi^10), where phi is the golden ratio, A001622.
[ "0", "123", "246", "369", "492", "615", "738", "861", "984", "1107", "1230", "1353", "1476", "1599", "1722", "1845", "1968", "2091", "2214", "2337", "2460", "2583", "2706", "2829", "2952", "3075", "3198", "3321", "3444", "3567", "3690", "3813", "3936", "4059", "4182" ]
[ "nonn" ]
17
0
2
[ "A001622", "A004945" ]
null
N. J. A. Sloane
2023-10-28T11:54:18
oeisdata/seq/A004/A004945.seq
2d69be70de2fde52185556c522b359b1
A004946
a(n) = round(n*phi^11), where phi is the golden ratio, A001622.
[ "0", "199", "398", "597", "796", "995", "1194", "1393", "1592", "1791", "1990", "2189", "2388", "2587", "2786", "2985", "3184", "3383", "3582", "3781", "3980", "4179", "4378", "4577", "4776", "4975", "5174", "5373", "5572", "5771", "5970", "6169", "6368", "6567", "6766" ]
[ "nonn" ]
19
0
2
[ "A001622", "A004926", "A004946" ]
null
N. J. A. Sloane
2023-10-28T11:54:06
oeisdata/seq/A004/A004946.seq
6ef53b3d30a83779cca1a4a906acec0c
A004947
a(n) = round(n*phi^12), where phi is the golden ratio, A001622.
[ "0", "322", "644", "966", "1288", "1610", "1932", "2254", "2576", "2898", "3220", "3542", "3864", "4186", "4508", "4830", "5152", "5474", "5796", "6118", "6440", "6762", "7084", "7406", "7728", "8050", "8372", "8694", "9016", "9338", "9660", "9982", "10304", "10626" ]
[ "nonn" ]
15
0
2
[ "A001622", "A004947" ]
null
N. J. A. Sloane
2023-10-28T11:53:49
oeisdata/seq/A004/A004947.seq
f4bfebfecc133cb30ae2ea386605615b
A004948
a(n) = round(n*phi^13), where phi is the golden ratio, A001622.
[ "0", "521", "1042", "1563", "2084", "2605", "3126", "3647", "4168", "4689", "5210", "5731", "6252", "6773", "7294", "7815", "8336", "8857", "9378", "9899", "10420", "10941", "11462", "11983", "12504", "13025", "13546", "14067", "14588", "15109", "15630", "16151" ]
[ "nonn" ]
19
0
2
[ "A001622", "A004928", "A004948" ]
null
N. J. A. Sloane
2023-10-28T11:53:33
oeisdata/seq/A004/A004948.seq
43e933e14a92ae9ed945c73188d420b5
A004949
a(n) = round(n*phi^14), where phi is the golden ratio, A001622.
[ "0", "843", "1686", "2529", "3372", "4215", "5058", "5901", "6744", "7587", "8430", "9273", "10116", "10959", "11802", "12645", "13488", "14331", "15174", "16017", "16860", "17703", "18546", "19389", "20232", "21075", "21918", "22761", "23604", "24447", "25290", "26133", "26976", "27819", "28662", "29505", "30348", "31191", "32034", "32877", "33720", "34563" ]
[ "nonn", "easy" ]
19
0
2
[ "A001622", "A004949" ]
null
N. J. A. Sloane
2023-10-28T11:53:13
oeisdata/seq/A004/A004949.seq
7911bf69735dace9e8206bcce25d3bfe
A004950
a(n) = round(n*phi^15), where phi is the golden ratio, A001622.
[ "0", "1364", "2728", "4092", "5456", "6820", "8184", "9548", "10912", "12276", "13640", "15004", "16368", "17732", "19096", "20460", "21824", "23188", "24552", "25916", "27280", "28644", "30008", "31372", "32736", "34100", "35464", "36828", "38192" ]
[ "nonn" ]
25
0
2
[ "A001622", "A004930", "A004950" ]
null
N. J. A. Sloane
2023-10-28T11:52:10
oeisdata/seq/A004/A004950.seq
19c7240ed88fc7791b6278bd44b2f931
A004951
a(n) = round(n*phi^16), where phi is the golden ratio, A001622.
[ "0", "2207", "4414", "6621", "8828", "11035", "13242", "15449", "17656", "19863", "22070", "24277", "26484", "28691", "30898", "33105", "35312", "37519", "39726", "41933", "44140", "46347", "48554", "50761", "52968", "55175", "57382", "59589", "61796" ]
[ "nonn" ]
18
0
2
[ "A001622", "A004951", "A004971" ]
null
N. J. A. Sloane
2023-10-28T11:51:44
oeisdata/seq/A004/A004951.seq
75f5008e459e843ef842a0a5a6ebeb1c
A004952
a(n) = round(n*phi^17), where phi is the golden ratio, A001622.
[ "0", "3571", "7142", "10713", "14284", "17855", "21426", "24997", "28568", "32139", "35710", "39281", "42852", "46423", "49994", "53565", "57136", "60707", "64278", "67849", "71420", "74991", "78562", "82133", "85704", "89275", "92846", "96417" ]
[ "nonn" ]
15
0
2
[ "A001622", "A004932", "A004952" ]
null
N. J. A. Sloane
2023-10-28T11:51:12
oeisdata/seq/A004/A004952.seq
a47f3882196c6ba53dd87678b2fb0461
A004953
a(n) = round(n*phi^18), where phi is the golden ratio, A001622.
[ "0", "5778", "11556", "17334", "23112", "28890", "34668", "40446", "46224", "52002", "57780", "63558", "69336", "75114", "80892", "86670", "92448", "98226", "104004", "109782", "115560", "121338", "127116", "132894", "138672", "144450", "150228" ]
[ "nonn" ]
21
0
2
[ "A001622", "A004953", "A004973" ]
null
N. J. A. Sloane
2023-10-28T11:49:33
oeisdata/seq/A004/A004953.seq
f9fd60c37f92f48c7632db25be410b60
A004954
a(n) = round(n*phi^19), where phi is the golden ratio, A001622.
[ "0", "9349", "18698", "28047", "37396", "46745", "56094", "65443", "74792", "84141", "93490", "102839", "112188", "121537", "130886", "140235", "149584", "158933", "168282", "177631", "186980", "196329", "205678", "215027", "224376", "233725" ]
[ "nonn" ]
15
0
2
[ "A001622", "A004934", "A004954" ]
null
N. J. A. Sloane
2023-10-28T11:50:51
oeisdata/seq/A004/A004954.seq
7b7bada4e4ee1f684c86e8f331a2d63d
A004955
a(n) = round(n*phi^20), where phi is the golden ratio, A001622.
[ "0", "15127", "30254", "45381", "60508", "75635", "90762", "105889", "121016", "136143", "151270", "166397", "181524", "196651", "211778", "226905", "242032", "257159", "272286", "287413", "302540", "317667", "332794", "347921", "363048", "378175", "393302", "408429", "423556", "438683", "453810", "468937", "484064", "499191", "514318", "529445", "544572", "559699" ]
[ "nonn" ]
19
0
2
[ "A001622", "A004955", "A004975" ]
null
N. J. A. Sloane
2023-10-28T11:50:17
oeisdata/seq/A004/A004955.seq
359c1d8a04829117d302a5154aa94b96
A004956
a(n) = ceiling(n*phi), where phi is the golden ratio, A001622.
[ "0", "2", "4", "5", "7", "9", "10", "12", "13", "15", "17", "18", "20", "22", "23", "25", "26", "28", "30", "31", "33", "34", "36", "38", "39", "41", "43", "44", "46", "47", "49", "51", "52", "54", "56", "57", "59", "60", "62", "64", "65", "67", "68", "70", "72", "73", "75", "77", "78", "80", "81", "83", "85", "86", "88", "89" ]
[ "nonn", "easy" ]
59
0
2
[ "A001622", "A004956", "A004957", "A026351", "A026352" ]
null
N. J. A. Sloane
2025-03-28T10:22:21
oeisdata/seq/A004/A004956.seq
2ac84eeb1d4c2802f95dd26f8ed64472
A004957
a(n) = ceiling(n*phi^2), where phi is the golden ratio, A001622.
[ "0", "3", "6", "8", "11", "14", "16", "19", "21", "24", "27", "29", "32", "35", "37", "40", "42", "45", "48", "50", "53", "55", "58", "61", "63", "66", "69", "71", "74", "76", "79", "82", "84", "87", "90", "92", "95", "97", "100", "103", "105", "108", "110", "113", "116", "118", "121", "124", "126", "129", "131", "134" ]
[ "nonn" ]
22
0
2
[ "A001622", "A004957", "A026352" ]
null
N. J. A. Sloane
2023-02-22T05:36:01
oeisdata/seq/A004/A004957.seq
6499d77859b1a66b849ffa23210197b4
A004958
a(n) = ceiling(n*phi^3), where phi is the golden ratio, A001622.
[ "0", "5", "9", "13", "17", "22", "26", "30", "34", "39", "43", "47", "51", "56", "60", "64", "68", "73", "77", "81", "85", "89", "94", "98", "102", "106", "111", "115", "119", "123", "128", "132", "136", "140", "145", "149", "153", "157", "161", "166", "170", "174", "178", "183", "187", "191", "195", "200" ]
[ "nonn" ]
37
0
2
[ "A001622", "A004956", "A004958", "A188014", "A188187", "A188188" ]
null
N. J. A. Sloane
2024-01-28T14:59:29
oeisdata/seq/A004/A004958.seq
f240d20973d6a869325fd234a315785c
A004959
a(n) = ceiling(n*phi^4), where phi is the golden ratio, A001622.
[ "0", "7", "14", "21", "28", "35", "42", "48", "55", "62", "69", "76", "83", "90", "96", "103", "110", "117", "124", "131", "138", "144", "151", "158", "165", "172", "179", "186", "192", "199", "206", "213", "220", "227", "234", "240", "247", "254", "261", "268", "275", "282", "288", "295", "302", "309" ]
[ "nonn" ]
15
0
2
[ "A001622", "A004956", "A004959" ]
null
N. J. A. Sloane
2019-09-25T15:10:40
oeisdata/seq/A004/A004959.seq
09ab48f4b6606d778da4efa5069e20a1
A004960
a(n) = ceiling(n*phi^5), where phi is the golden ratio, A001622.
[ "0", "12", "23", "34", "45", "56", "67", "78", "89", "100", "111", "122", "134", "145", "156", "167", "178", "189", "200", "211", "222", "233", "244", "256", "267", "278", "289", "300", "311", "322", "333", "344", "355", "366", "378", "389", "400", "411", "422", "433", "444", "455", "466", "477" ]
[ "nonn" ]
11
0
2
null
null
N. J. A. Sloane
2019-07-04T15:23:47
oeisdata/seq/A004/A004960.seq
3f3ff1b4211206f429fb6f9f0c9c46a1
A004961
a(n) = ceiling(n*phi^6), where phi is the golden ratio.
[ "0", "18", "36", "54", "72", "90", "108", "126", "144", "162", "180", "198", "216", "234", "252", "270", "288", "306", "323", "341", "359", "377", "395", "413", "431", "449", "467", "485", "503", "521", "539", "557", "575", "593", "611", "629", "646", "664", "682", "700", "718", "736", "754", "772" ]
[ "nonn", "easy" ]
11
0
2
null
null
N. J. A. Sloane
2019-07-04T15:24:09
oeisdata/seq/A004/A004961.seq
a7fcf37e936882f225d903d8a47c455e
A004962
a(n) = ceiling(n*phi^7), where phi is the golden ratio, A001622.
[ "0", "30", "59", "88", "117", "146", "175", "204", "233", "262", "291", "320", "349", "378", "407", "436", "465", "494", "523", "552", "581", "610", "639", "668", "697", "726", "755", "784", "813", "842", "872", "901", "930", "959", "988", "1017", "1046", "1075", "1104", "1133", "1162", "1191", "1220", "1249", "1278", "1307", "1336", "1365", "1394", "1423", "1452", "1481", "1510", "1539", "1568", "1597", "1626", "1655", "1684", "1714" ]
[ "nonn" ]
25
0
2
[ "A004922", "A004962" ]
null
N. J. A. Sloane
2022-09-08T08:44:33
oeisdata/seq/A004/A004962.seq
72bbded597cf5aa58d18f370783ef175
A004963
a(n) = ceiling(n*phi^8), where phi is the golden ratio, A001622.
[ "0", "47", "94", "141", "188", "235", "282", "329", "376", "423", "470", "517", "564", "611", "658", "705", "752", "799", "846", "893", "940", "987", "1034", "1081", "1128", "1175", "1222", "1269", "1316", "1363", "1410", "1457", "1504", "1551", "1598", "1645", "1692", "1739", "1786" ]
[ "nonn" ]
16
0
2
null
null
N. J. A. Sloane
2019-07-04T15:24:16
oeisdata/seq/A004/A004963.seq
86cff7a70e71d43431c46d41bd4c368d
A004964
a(n) = ceiling(n*phi^9), where phi is the golden ratio, A001622.
[ "0", "77", "153", "229", "305", "381", "457", "533", "609", "685", "761", "837", "913", "989", "1065", "1141", "1217", "1293", "1369", "1445", "1521", "1597", "1673", "1749", "1825", "1901", "1977", "2053", "2129", "2205", "2281", "2357", "2433", "2509", "2585", "2661", "2737" ]
[ "nonn" ]
10
0
2
null
null
N. J. A. Sloane
2019-07-04T15:24:23
oeisdata/seq/A004/A004964.seq
337e556fa772cbb1b21d7f00e0ce9a78
A004965
a(n) = ceiling(n*phi^10), where phi is the golden ratio, A001622.
[ "0", "123", "246", "369", "492", "615", "738", "861", "984", "1107", "1230", "1353", "1476", "1599", "1722", "1845", "1968", "2091", "2214", "2337", "2460", "2583", "2706", "2829", "2952", "3075", "3198", "3321", "3444", "3567", "3690", "3813", "3936", "4059", "4182" ]
[ "nonn" ]
13
0
2
null
null
N. J. A. Sloane
2019-07-04T15:24:29
oeisdata/seq/A004/A004965.seq
cf2c3569280002260bb7b572b2a78930
A004966
a(n) = ceiling(n*phi^11), where phi is the golden ratio, A001622.
[ "0", "200", "399", "598", "797", "996", "1195", "1394", "1593", "1792", "1991", "2190", "2389", "2588", "2787", "2986", "3185", "3384", "3583", "3782", "3981", "4180", "4379", "4578", "4777", "4976", "5175", "5374", "5573", "5772", "5971", "6170", "6369", "6568", "6767" ]
[ "nonn" ]
14
0
2
[ "A001622", "A004966" ]
null
N. J. A. Sloane
2022-08-25T09:03:10
oeisdata/seq/A004/A004966.seq
082ac7bd3adfa9a30919765b32323adb
A004967
a(n) = ceiling(n*phi^12), where phi is the golden ratio, A001622.
[ "0", "322", "644", "966", "1288", "1610", "1932", "2254", "2576", "2898", "3220", "3542", "3864", "4186", "4508", "4830", "5152", "5474", "5796", "6118", "6440", "6762", "7084", "7406", "7728", "8050", "8372", "8694", "9016", "9338", "9660", "9982", "10304", "10626" ]
[ "nonn" ]
17
0
2
null
null
N. J. A. Sloane
2019-07-04T15:24:41
oeisdata/seq/A004/A004967.seq
f694595d9f1b9eab06d54a13bcb5dcab
A004968
a(n) = ceiling(n*phi^13), where phi is the golden ratio, A001622.
[ "0", "522", "1043", "1564", "2085", "2606", "3127", "3648", "4169", "4690", "5211", "5732", "6253", "6774", "7295", "7816", "8337", "8858", "9379", "9900", "10421", "10942", "11463", "11984", "12505", "13026", "13547", "14068", "14589", "15110", "15631", "16152" ]
[ "nonn" ]
10
0
2
null
null
N. J. A. Sloane
2019-07-04T15:24:46
oeisdata/seq/A004/A004968.seq
421df5b420e0c51f79136889653596d1
A004969
a(n) = ceiling(n*phi^14), where phi is the golden ratio, A001622.
[ "0", "843", "1686", "2529", "3372", "4215", "5058", "5901", "6744", "7587", "8430", "9273", "10116", "10959", "11802", "12645", "13488", "14331", "15174", "16017", "16860", "17703", "18546", "19389", "20232", "21075", "21918", "22761", "23604", "24447" ]
[ "nonn" ]
17
0
2
null
null
N. J. A. Sloane
2022-12-19T12:45:17
oeisdata/seq/A004/A004969.seq
7077bc4201f2503656ffdfff7f69f329
A004970
a(n) = ceiling(n*phi^15), where phi is the golden ratio, A001622.
[ "0", "1365", "2729", "4093", "5457", "6821", "8185", "9549", "10913", "12277", "13641", "15005", "16369", "17733", "19097", "20461", "21825", "23189", "24553", "25917", "27281", "28645", "30009", "31373", "32737", "34101", "35465", "36829", "38193" ]
[ "nonn" ]
12
0
2
null
null
N. J. A. Sloane
2019-07-04T15:24:59
oeisdata/seq/A004/A004970.seq
4e88be6f377a6c48f86c7a18036f07f6
A004971
a(n) = ceiling(n*phi^16), where phi is the golden ratio, A001622.
[ "0", "2207", "4414", "6621", "8828", "11035", "13242", "15449", "17656", "19863", "22070", "24277", "26484", "28691", "30898", "33105", "35312", "37519", "39726", "41933", "44140", "46347", "48554", "50761", "52968", "55175", "57382", "59589", "61796" ]
[ "nonn" ]
12
0
2
null
null
N. J. A. Sloane
2019-07-04T15:25:06
oeisdata/seq/A004/A004971.seq
e7f126ec3bd443e51fcfa9d17aeaea24
A004972
a(n) = ceiling(n*phi^17), where phi is the golden ratio, A001622.
[ "0", "3572", "7143", "10714", "14285", "17856", "21427", "24998", "28569", "32140", "35711", "39282", "42853", "46424", "49995", "53566", "57137", "60708", "64279", "67850", "71421", "74992", "78563", "82134", "85705", "89276", "92847", "96418", "99989", "103560", "107131", "110702", "114273", "117844", "121415", "124986" ]
[ "nonn", "easy" ]
16
0
2
null
null
N. J. A. Sloane
2019-07-04T15:25:13
oeisdata/seq/A004/A004972.seq
ee21be2f9b5e8684cbee65d53b750a17
A004973
a(n) = ceiling(n*phi^18), where phi is the golden ratio, A001622.
[ "0", "5778", "11556", "17334", "23112", "28890", "34668", "40446", "46224", "52002", "57780", "63558", "69336", "75114", "80892", "86670", "92448", "98226", "104004", "109782", "115560", "121338", "127116", "132894", "138672", "144450", "150228" ]
[ "nonn" ]
19
0
2
[ "A004953", "A004973" ]
null
N. J. A. Sloane
2021-07-19T01:56:55
oeisdata/seq/A004/A004973.seq
6554f40ace6a7198d35c06b4db351003
A004974
a(n) = ceiling(n*phi^19), where phi is the golden ratio, A001622.
[ "0", "9350", "18699", "28048", "37397", "46746", "56095", "65444", "74793", "84142", "93491", "102840", "112189", "121538", "130887", "140236", "149585", "158934", "168283", "177632", "186981", "196330", "205679", "215028", "224377", "233726" ]
[ "nonn" ]
13
0
2
null
null
N. J. A. Sloane
2024-07-28T13:21:27
oeisdata/seq/A004/A004974.seq
701b301743742799abaeff6a1c1611a5
A004975
a(n) = ceiling(n*phi^20), where phi is the golden ratio, A001622.
[ "0", "15127", "30254", "45381", "60508", "75635", "90762", "105889", "121016", "136143", "151270", "166397", "181524", "196651", "211778", "226905", "242032", "257159", "272286", "287413", "302540", "317667", "332794", "347921", "363048", "378175", "393302", "408429", "423556", "438683", "453810", "468937", "484064", "499191", "514318", "529445", "544572", "559699" ]
[ "nonn" ]
18
0
2
null
null
N. J. A. Sloane
2019-07-04T15:25:32
oeisdata/seq/A004/A004975.seq
70ce65a291119358383bb90f9c2e4965
A004976
a(n) = floor(n*phi^3), where phi=(1+sqrt(5))/2.
[ "0", "4", "8", "12", "16", "21", "25", "29", "33", "38", "42", "46", "50", "55", "59", "63", "67", "72", "76", "80", "84", "88", "93", "97", "101", "105", "110", "114", "118", "122", "127", "131", "135", "139", "144", "148", "152", "156", "160", "165", "169", "173", "177", "182", "186", "190", "194", "199" ]
[ "nonn", "easy" ]
61
0
2
[ "A000201", "A001950", "A004919", "A004958", "A004976", "A188221", "A188222" ]
null
N. J. A. Sloane
2025-01-05T19:51:33
oeisdata/seq/A004/A004976.seq
53f1977d42e5216506661b097c684eee
A004977
Sum of digits of n-th term in Look and Say sequence A005150.
[ "1", "2", "3", "5", "8", "10", "13", "16", "23", "32", "44", "56", "76", "102", "132", "174", "227", "296", "383", "505", "679", "892", "1151", "1516", "1988", "2602", "3400", "4410", "5759", "7519", "9809", "12810", "16710", "21758", "28356", "36955", "48189", "62805", "81803", "106647", "139088", "181301", "236453", "308150", "401689" ]
[ "nonn", "base" ]
16
1
2
[ "A004977", "A005150", "A005341", "A014715" ]
null
Clark Kimberling
2014-08-11T22:45:12
oeisdata/seq/A004/A004977.seq
3dc7cbdb4138d57a225426b67f2a6c59
A004978
a(n) = least integer m > a(n-1) such that m - a(n-1) != a(j) - a(k) for all j, k less than n; a(1) = 1, a(2) = 2.
[ "1", "2", "4", "8", "13", "21", "31", "45", "60", "76", "97", "119", "144", "170", "198", "231", "265", "300", "336", "374", "414", "456", "502", "550", "599", "649", "702", "759", "819", "881", "945", "1010", "1080", "1157", "1237", "1318", "1401", "1486", "1572", "1662", "1753", "1845", "1945", "2049", "2156", "2264" ]
[ "nonn" ]
43
1
2
[ "A001856", "A002048", "A002049", "A004978", "A048201", "A048204" ]
[ "N0416" ]
N. J. A. Sloane. This was in the 1973 "Handbook", but was then dropped from the database. Resubmitted by Clark Kimberling. Entry revised by N. J. A. Sloane, Jun 10 2012
2019-06-28T08:51:58
oeisdata/seq/A004/A004978.seq
592980576b88b94ebf2bd1315447aa0a
A004979
a(n)=least number m such that m-a(n-1)<>a(j)-a(k) for all j,k less than m; a(1)=1, a(2)=3.
[ "1", "3", "4", "8", "14", "22", "31", "43", "58", "74", "94", "116", "140", "165", "191", "223", "256", "290", "327", "365", "406", "451", "498", "546", "599", "655", "714", "775", "837", "901", "969", "1038", "1112", "1188", "1265", "1343", "1424", "1508", "1595", "1683", "1772", "1868", "1966", "2066", "2169", "2274" ]
[ "nonn" ]
10
1
2
[ "A004979", "A048212", "A048216", "A048217" ]
null
Clark Kimberling
2019-02-19T03:56:52
oeisdata/seq/A004/A004979.seq
3c5d65473ad5f69f60826d8e666c25d1
A004980
Numbers k such that if 1 <= j < k then the fractional part of the k-th partial sum of the harmonic series > the fractional part of the j-th partial sum of the harmonic series.
[ "2", "3", "10", "29", "30", "225", "226", "4549", "91379", "248395", "248396", "675212", "675213", "4989190", "13562026", "36865410", "36865411", "100210578", "100210579", "100210580", "5471312309", "14872568829", "14872568830", "40427833594", "40427833595", "109894245427", "109894245428", "812014744421" ]
[ "nonn" ]
18
1
1
null
null
Clark Kimberling
2022-02-26T13:48:52
oeisdata/seq/A004/A004980.seq
68bc51ecf675715a300a6844124716a5
A004981
a(n) = (2^n/n!) * Product_{k=0..n-1} (4*k + 1).
[ "1", "2", "10", "60", "390", "2652", "18564", "132600", "961350", "7049900", "52169260", "388898120", "2916735900", "21987701400", "166478310600", "1265235160560", "9647418099270", "73774373700300", "565603531702300", "4346216612028200", "33465867912617140", "258165266754475080", "1994913424920943800" ]
[ "nonn", "easy" ]
69
0
2
[ "A002897", "A004981", "A004982", "A059304", "A127776", "A298799" ]
null
Joe Keane (jgk(AT)jgk.org)
2022-09-08T08:44:33
oeisdata/seq/A004/A004981.seq
082b881476f6b008adeb19252d75d8ab
A004982
a(n) = (2^n/n!) * Product_{k=0..n-1} (4*k + 3).
[ "1", "6", "42", "308", "2310", "17556", "134596", "1038312", "8046918", "62587140", "488179692", "3816677592", "29897307804", "234578876616", "1843119744840", "14499208659408", "114181268192838", "900017055167076", "7100134546318044", "56053693786721400", "442824180915099060", "3500419715805068760", "27685137752276452920" ]
[ "nonn", "easy" ]
61
0
2
[ "A004981", "A004982", "A067001" ]
null
Joe Keane (jgk(AT)jgk.org)
2024-12-28T03:09:28
oeisdata/seq/A004/A004982.seq
f09b6885bd11d402cd50c5b17235e9e4
A004983
a(n) = (2^n/n!) * Product_{k=0..n-1} (4*k - 3).
[ "1", "-6", "-6", "-20", "-90", "-468", "-2652", "-15912", "-99450", "-640900", "-4229940", "-28455960", "-194449060", "-1346185800", "-9423300600", "-66591324240", "-474463185210", "-3404971093860", "-24591457900100", "-178611641590200", "-1303864983608460", "-9561676546462040", "-70408709114856840" ]
[ "sign", "easy" ]
34
0
2
null
null
Joe Keane (jgk(AT)jgk.org)
2022-09-08T08:44:33
oeisdata/seq/A004/A004983.seq
a64f384b9cce4be12afcd5fa54e3d637
A004984
a(n) = (2^n/n!)*Product_{k=0..n-1} (4*k - 1).
[ "1", "-2", "-6", "-28", "-154", "-924", "-5852", "-38456", "-259578", "-1788204", "-12517428", "-88759944", "-636112932", "-4599585816", "-33511268088", "-245749299312", "-1812401082426", "-13433090375628", "-100001895018564", "-747382583822952", "-5605369378672140", "-42173731515723720" ]
[ "sign", "easy" ]
54
0
2
[ "A004981", "A004984", "A025749", "A034256", "A048779", "A303538" ]
null
Joe Keane (jgk(AT)jgk.org)
2024-12-29T14:08:29
oeisdata/seq/A004/A004984.seq
e4f6638791e8ac0fdfad7a399d4130f1
A004985
a(n) = (2^n/n!)*Product_{k=0..n-1} (4*k + 5).
[ "1", "10", "90", "780", "6630", "55692", "464100", "3845400", "31724550", "260846300", "2138939660", "17500415400", "142920059100", "1165348174200", "9489263704200", "77179344794160", "627082176452550", "5090431785320700", "41289057814267900", "334658679126171400", "2710735300921988340", "21944047674130381800" ]
[ "nonn", "easy" ]
32
0
2
null
null
Joe Keane (jgk(AT)jgk.org)
2022-09-08T08:44:33
oeisdata/seq/A004/A004985.seq
a81a1d08e10b2d4891061a8dfb385e3a
A004986
a(n) = (2^n/n!) * Product_{k=0..n-1} (4*k + 7).
[ "1", "14", "154", "1540", "14630", "134596", "1211364", "10729224", "93880710", "813632820", "6997242252", "59794615608", "508254232668", "4300612737960", "36248021648520", "304483381847568", "2550048322973382", "21300403638954132", "177503363657951100", "1476080603050330200", "12251469005317740660", "101512171758346994040" ]
[ "nonn", "easy" ]
19
0
2
null
null
Joe Keane (jgk(AT)jgk.org)
2022-09-08T08:44:33
oeisdata/seq/A004/A004986.seq
598d70733565571947f0430314058939
A004987
a(n) = (3^n/n!)*Product_{k=0..n-1} (3*k + 1). 3-central binomial coefficients.
[ "1", "3", "18", "126", "945", "7371", "58968", "480168", "3961386", "33011550", "277297020", "2344420260", "19927572210", "170150808870", "1458435504600", "12542545339560", "108179453553705", "935434098376155", "8107095519260010", "70403724246205350", "612512400941986545", "5337608065351597035", "46582761297613937760" ]
[ "nonn", "easy" ]
90
0
2
[ "A004117", "A004987", "A004988", "A007559", "A034689", "A047657", "A053101", "A054861", "A072888", "A216316", "A268545", "A268555" ]
null
Joe Keane (jgk(AT)jgk.org)
2024-11-13T17:20:00
oeisdata/seq/A004/A004987.seq
33ab704a97ad884609b447fddc742a37
A004988
a(n) = (3^n/n!) * Product_{k=0..n-1} (3*k + 2).
[ "1", "6", "45", "360", "2970", "24948", "212058", "1817640", "15677145", "135868590", "1182056733", "10316131488", "90266150520", "791564704560", "6954461332920", "61199259729696", "539318476367946", "4758692438540700", "42035116540442850", "371678925199705200", "3289358488017391020" ]
[ "nonn", "easy" ]
59
0
2
[ "A004987", "A004988", "A004989", "A004990", "A004991", "A004992" ]
null
Joe Keane (jgk(AT)jgk.org)
2024-10-15T15:41:08
oeisdata/seq/A004/A004988.seq
e39269c42fb97ea919e23526c01980ab
A004989
a(n) = (3^n/n!) * Product_{k=0..n-1} (3*k - 2).
[ "1", "-6", "-9", "-36", "-189", "-1134", "-7371", "-50544", "-360126", "-2640924", "-19806930", "-151252920", "-1172210130", "-9197341020", "-72921775230", "-583374201840", "-4703454502335", "-38180983607190", "-311811366125385", "-2560135427134740", "-21121117273861605", "-175003543126281870", "-1455711290550435555" ]
[ "sign", "easy" ]
32
0
2
[ "A004988", "A004989", "A004990", "A004991", "A004992", "A025748", "A155579", "A185047" ]
null
Joe Keane (jgk(AT)jgk.org)
2024-10-15T15:42:16
oeisdata/seq/A004/A004989.seq
30aefa4c6573a0534e1b3cd20771feb6
A004990
a(n) = (3^n/n!)*Product_{k=0..n-1} (3*k - 1).
[ "1", "-3", "-9", "-45", "-270", "-1782", "-12474", "-90882", "-681615", "-5225715", "-40760577", "-322379109", "-2579032872", "-20830650120", "-169621008120", "-1390892266584", "-11474861199318", "-95173848770814", "-793115406423450", "-6637123664280450", "-55751838779955780" ]
[ "sign", "easy" ]
56
0
2
[ "A004988", "A004989", "A004990", "A004991", "A004992", "A034164" ]
null
Joe Keane (jgk(AT)jgk.org)
2024-04-02T11:44:42
oeisdata/seq/A004/A004990.seq
41e2b0afbc7fde1f97ac1193a33a90ae
A004991
a(n) = (3^n/n!) * Product_{k=0..n-1} (3*k + 4).
[ "1", "12", "126", "1260", "12285", "117936", "1120392", "10563696", "99034650", "924323400", "8596207620", "79710288840", "737320171770", "6806032354800", "62712726697800", "576957085619760", "5300793224131545", "48642573115560060", "445890253559300550", "4083416006279910300", "37363256457461179245", "341606916182502210240" ]
[ "nonn", "easy" ]
28
0
2
[ "A004988", "A004989", "A004990", "A004991", "A004992" ]
null
Joe Keane (jgk(AT)jgk.org)
2022-12-02T07:03:58
oeisdata/seq/A004/A004991.seq
53800c65b0ea4128bb0b945478d8a14e
A004992
a(n) = (3^n/n!) * Product_{k=0..n-1} (3*k + 5).
[ "1", "15", "180", "1980", "20790", "212058", "2120580", "20902860", "203802885", "1970094555", "18912907728", "180532301040", "1715056859880", "16227076443480", "152998149324240", "1438182603647856", "13482961909198650", "126105349621328550", "1176983263132399800", "10964528293391303400", "101970113128539121620" ]
[ "nonn", "easy" ]
30
0
2
[ "A004988", "A004989", "A004990", "A004991", "A004992" ]
null
Joe Keane (jgk(AT)jgk.org)
2023-01-07T11:34:04
oeisdata/seq/A004/A004992.seq
d7a4cf6d3fb2598a6a39f2d278fa9027
A004993
a(n) = (6^n/n!)*Product_{k=0..n-1} (6*k + 1).
[ "1", "6", "126", "3276", "93366", "2800980", "86830380", "2753763480", "88808872230", "2901089826180", "95735964263940", "3185396629145640", "106710787076378940", "3595332672265690440", "121727691903852662040", "4138741524730990509360" ]
[ "nonn", "easy" ]
35
0
2
null
null
Joe Keane (jgk(AT)jgk.org)
2022-09-08T08:44:33
oeisdata/seq/A004/A004993.seq
ac886db8a451c4c93cf260498c37405d
A004994
a(n) = (6^n/n!)*Product_{k=0..n-1} (6*k + 5).
[ "1", "30", "990", "33660", "1161270", "40412196", "1414426860", "49707001080", "1752171788070", "61910069845140", "2191616472517956", "77702765843818440", "2758448187455554620", "98031004815728171880", "3487102885588044971160" ]
[ "nonn", "easy" ]
35
0
2
null
null
Joe Keane (jgk(AT)jgk.org)
2022-09-08T08:44:33
oeisdata/seq/A004/A004994.seq
0e36d8bd4381bf37cb146d6e037eba71
A004995
a(n) = (6^n/n!) * Product_{k=0..n-1} (6*k - 5).
[ "1", "-30", "-90", "-1260", "-24570", "-560196", "-14004900", "-372130200", "-10326613050", "-296029574100", "-8703269478540", "-261098084356200", "-7963491572864100", "-246255662483951400", "-7704284297712193800", "-243455383807705324080" ]
[ "sign", "easy" ]
14
0
2
null
null
Joe Keane (jgk(AT)jgk.org)
2022-09-08T08:44:33
oeisdata/seq/A004/A004995.seq
129170cbda85a6def0e9d9c0835a2852
A004996
a(n) = 6^n/n! * Product_{k=0..n-1} (6*k - 1).
[ "1", "-6", "-90", "-1980", "-50490", "-1393524", "-40412196", "-1212365880", "-37280250810", "-1168114525380", "-37146041907084", "-1195427166827976", "-38851382921909220", "-1273129932671794440", "-42013287778169216520" ]
[ "sign", "easy" ]
19
0
2
[ "A004993", "A004996" ]
null
Joe Keane (jgk(AT)jgk.org)
2022-09-08T08:44:33
oeisdata/seq/A004/A004996.seq
606d06a55d8899d79f055f2655eda336
A004997
a(n) = (6^n/n!) * Product_{k=0..n-1} (6*k + 7).
[ "1", "42", "1638", "62244", "2334150", "86830380", "3212724060", "118411829640", "4351634739270", "159559940439900", "5839893820100340", "213421574152757880", "7789887456575662620", "284031281108989544760", "10346853811827476273400", "376625478750520136351760", "13699751789550169959795270" ]
[ "nonn", "easy" ]
23
0
2
null
null
Joe Keane (jgk(AT)jgk.org)
2022-09-08T08:44:33
oeisdata/seq/A004/A004997.seq
bc994b4675ed62c0dcdb255224230c47
A004998
a(n) = (6^n/n!) * Product_{k=0..n-1} ( 6*k + 11 ).
[ "1", "66", "3366", "154836", "6735366", "282885372", "11598300252", "467245810152", "18573020953542", "730538824172652", "28491014142733428", "1103379274982221848", "42480102086815541148", "1627314679941087653208", "62070431363467200486648", "2358676391811753618492624", "89334868339870168300408134" ]
[ "nonn", "easy" ]
21
0
2
null
null
Joe Keane (jgk(AT)jgk.org)
2022-09-08T08:44:33
oeisdata/seq/A004/A004998.seq
1921f3b232ec286a0d799f9200298fd2
A004999
Sums of two nonnegative cubes.
[ "0", "1", "2", "8", "9", "16", "27", "28", "35", "54", "64", "65", "72", "91", "125", "126", "128", "133", "152", "189", "216", "217", "224", "243", "250", "280", "341", "343", "344", "351", "370", "407", "432", "468", "512", "513", "520", "539", "559", "576", "637", "686", "728", "729", "730", "737", "756", "793", "854", "855", "945", "1000", "1001" ]
[ "nonn", "easy", "nice" ]
41
1
3
[ "A000578", "A003325", "A004825", "A004999", "A010057", "A025446", "A045980", "A373972" ]
null
N. J. A. Sloane, Steven Finch
2024-07-02T07:23:35
oeisdata/seq/A004/A004999.seq
fb064dee114a2c13c0480342284b898a
A005000
Erroneous version of A006505.
[ "1", "0", "0", "1", "1", "1", "11", "36", "92", "491", "2537" ]
[ "dead" ]
25
1
7
null
[ "M4788" ]
null
2012-01-02T16:42:57
oeisdata/seq/A005/A005000.seq
b0acd8ba2f7e68e556cd8ade283f4eaf