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 A184631 Floor(1/{(7+n^4)^(1/4)}), where {}=fractional part. 1
 1, 5, 15, 36, 71, 123, 196, 292, 416, 571, 760, 987, 1255, 1568, 1928, 2340, 2807, 3332, 3919, 4571, 5292, 6084, 6952, 7899, 8928, 10043, 11247, 12544, 13936, 15428, 17023, 18724, 20535, 22459, 24500, 26660, 28944, 31355, 33896, 36571, 39383, 42336, 45432, 48676, 52071, 55620, 59327, 63195, 67228, 71428, 75800 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Ray Chandler, Table of n, a(n) for n = 1..10000 Index entries for linear recurrences with constant coefficients, signature (3, -3, 1, 0, 0, 0, 1, -3, 3, -1). FORMULA a(n)=floor(1/{(7+n^4)^(1/4)}), where {}=fractional part. It appears that a(n)=3a(n-1)-3a(n-2)+a(n-3)+a(n-7)-3a(n-8)+3a(n-9)-a(n-10) for n>=13. MATHEMATICA p[n_]:=FractionalPart[(n^4+7)^(1/4)]; q[n_]:=Floor[1/p[n]]; Table[q[n], {n, 1, 80}] FindLinearRecurrence[Table[q[n], {n, 1, 1000}]] Join[{1, 5}, LinearRecurrence[{3, -3, 1, 0, 0, 0, 1, -3, 3, -1}, {15, 36, 71, 123, 196, 292, 416, 571, 760, 987}, 49]] (* Ray Chandler, Aug 02 2015 *) CROSSREFS Cf. A184536. Sequence in context: A220480 A105720 A174655 * A366971 A011933 A093802 Adjacent sequences: A184628 A184629 A184630 * A184632 A184633 A184634 KEYWORD nonn AUTHOR Clark Kimberling, Jan 18 2011 STATUS approved

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Last modified May 23 02:30 EDT 2024. Contains 372758 sequences. (Running on oeis4.)