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.

A373706 Expansion of 1/(1 - x * (1 + x^4)^2).

This page as a plain text file.
%I A373706 #12 Jun 14 2024 10:44:17
%S A373706 1,1,1,1,1,3,5,7,9,12,19,30,45,64,91,134,201,300,440,641,939,1386,
%T A373706 2050,3021,4437,6516,9588,14128,20811,30624,45042,66268,97545,143604,
%U A373706 211368,311040,457704,673605,991437,1459215,2147563,3160516,4651330,6845572,10075042
%N A373706 Expansion of 1/(1 - x * (1 + x^4)^2).
%H A373706 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,0,2,0,0,0,1).
%F A373706 a(n) = a(n-1) + 2*a(n-5) + a(n-9) for n > 8.
%F A373706 a(n) = Sum_{k=0..floor(2*n/9)} binomial(2*n-8*k,k).
%F A373706 a(n) = A005711(2*n-1) for n > 0.
%o A373706 (PARI) a(n) = sum(k=0, 2*n\9, binomial(2*n-8*k, k));
%Y A373706 Cf. A005711, A193147, A373708.
%K A373706 nonn,easy
%O A373706 0,6
%A A373706 _Seiichi Manyama_, Jun 14 2024