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 A376836 #12 Oct 06 2024 09:14:01 %S A376836 1,1,1,1,1,1,1,1,3,19,91,331,991,2575,6007,12871,25759,48927,90271, %T A376836 168607,339151,773263,1982575,5393455,14709625,38941801,98802081, %U A376836 239718961,557984701,1254360781,2750444101,5961934261,12986219371,28897996843,66459189259,158256566091 %N A376836 Expansion of 1/((1-x)^8 - 16*x^8)^(1/8). %F A376836 a(n) = Sum_{k=0..floor(n/8)} (-16)^k * binomial(-1/8,k) * binomial(n,n-8*k). %t A376836 a[n_]:=Sum[(-16)^k * Binomial[-1/8,k] * Binomial[n,n-8*k],{k,0,Floor[n/8]}]; Array[a,36,0] (* _Stefano Spezia_, Oct 06 2024 *) %o A376836 (PARI) my(N=40, x='x+O('x^N)); Vec(1/((1-x)^8-16*x^8)^(1/8)) %Y A376836 Cf. A002426, A376835. %Y A376836 Cf. A224881. %K A376836 nonn %O A376836 0,9 %A A376836 _Seiichi Manyama_, Oct 06 2024