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.

A288232 Coefficients in the expansion of 1/([r]-[2*r]*x+[3*r]*x^2-...); []=floor, r=3*e/5.

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%I A288232 #9 Mar 11 2025 22:08:58
%S A288232 1,3,5,9,17,30,52,91,160,281,494,871,1537,2711,4782,8437,14885,26258,
%T A288232 46320,81712,144145,254277,448555,791273,1395843,2462330,4343663,
%U A288232 7662423,13516866,23844368,42062554,74200268,130892661,230900629,407319256,718529778
%N A288232 Coefficients in the expansion of 1/([r]-[2*r]*x+[3*r]*x^2-...); []=floor, r=3*e/5.
%C A288232 Conjecture: the sequence is strictly increasing.
%F A288232 G.f.: 1/(Sum_{k>=0} [(k+1)*r]*(-x)^k), where r = 3*e/5 and [ ] = floor.
%t A288232 r = 3E/5;
%t A288232 u = 1000; (* # initial terms from given series *)
%t A288232 v = 100;   (* # coefficients in reciprocal series *)
%t A288232 CoefficientList[Series[1/Sum[Floor[r*(k + 1)] (-x)^k, {k, 0, u}], {x, 0, v}], x]
%Y A288232 Cf. A078140 (includes guide to related sequences).
%K A288232 nonn,easy
%O A288232 0,2
%A A288232 _Clark Kimberling_, Jul 11 2017