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.
%I A288230 #8 Mar 12 2025 04:40:26
%S A288230 1,3,5,9,18,36,71,138,268,522,1017,1980,3853,7498,14594,28406,55287,
%T A288230 107604,209428,407608,793325,1544042,3005154,5848902,11383662,
%U A288230 22155913,43121842,83927627,163347533,317921733,618768013,1204302235,2343921860,4561952576
%N A288230 Coefficients of 1/(Sum_{k>=0} [(k+1)*r]*(-x)^k), where r = sqrt(5/2) and [ ] = floor.
%C A288230 Conjecture: the sequence is strictly increasing.
%F A288230 G.f.: 1/(Sum_{k>=0} [(k+1)*r]*(-x)^k), where r = sqrt(5/2) and [ ] = floor.
%t A288230 r = Sqrt[5/2];
%t A288230 u = 1000; (* # initial terms from given series *)
%t A288230 v = 100; (* # coefficients in reciprocal series *)
%t A288230 CoefficientList[Series[1/Sum[Floor[r*(k + 1)] (-x)^k, {k, 0, u}], {x, 0, v}], x]
%Y A288230 Cf. A078140 (includes guide to related sequences).
%K A288230 nonn,easy
%O A288230 0,2
%A A288230 _Clark Kimberling_, Jul 10 2017