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 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