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 A365911 #22 Sep 23 2023 08:51:36 %S A365911 1,0,0,1,0,0,20,1,0,1680,240,1,369600,102960,4160,168168001,76876800, %T A365911 7743840,137225153280,93117024001,17091609600,182510023324320, %U A365911 172080261401600,49615854288001,369403226582016000,461748751736204400,191552892427653120 %N A365911 Expansion of e.g.f. 1 / ( 1 - Sum_{k>=0} x^(4*k+3) / (4*k+3)! ). %H A365911 Seiichi Manyama, <a href="/A365911/b365911.txt">Table of n, a(n) for n = 0..498</a> %F A365911 a(0) = 1; a(n) = Sum_{k=0..floor((n-3)/4)} binomial(n,4*k+3) * a(n-4*k-3). %F A365911 E.g.f.: 1 / ( 1 - (sinh(x) - sin(x))/2 ). %o A365911 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-(sinh(x)-sin(x))/2))) %Y A365911 Cf. A102233, A332258, A365912. %Y A365911 Cf. A352429, A365917. %Y A365911 Cf. A307978. %K A365911 nonn,easy %O A365911 0,7 %A A365911 _Seiichi Manyama_, Sep 22 2023