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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
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
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.)