cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A288231 Coefficients of 1/(Sum_{k>=0} [(k+1)*r]*(-x)^k), where r = 4^(1/3) and [ ] = floor.

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%I A288231 #8 Mar 12 2025 04:40:30
%S A288231 1,3,5,9,18,36,71,138,268,522,1017,1981,3859,7517,14642,28521,55557,
%T A288231 108223,210814,410654,799931,1558224,3035341,5912689,11517614,
%U A288231 22435718,43703622,85132404,165833537,323035186,629255898,1225758065,2387713549,4651142959
%N A288231 Coefficients of 1/(Sum_{k>=0} [(k+1)*r]*(-x)^k), where r = 4^(1/3) and [ ] = floor.
%C A288231 Conjecture: the sequence is strictly increasing.
%F A288231 G.f.: 1/(Sum_{k>=0} [(k+1)*r]*(-x)^k), where r = 4^(1/3) and [ ] = floor.
%t A288231 r = Sqrt[5/2];
%t A288231 u = 1000; (* # initial terms from given series *)
%t A288231 v = 100;   (* # coefficients in reciprocal series *)
%t A288231 CoefficientList[Series[1/Sum[Floor[r*(k + 1)] (-x)^k, {k, 0, u}], {x, 0, v}], x]
%Y A288231 Cf. A078140 (includes guide to related sequences).
%K A288231 nonn,easy
%O A288231 0,2
%A A288231 _Clark Kimberling_, Jul 10 2017