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 A365896 #19 Sep 23 2023 07:26:07
%S A365896 1,0,0,0,0,1,0,1,0,1,126,1,792,1,3718,126127,15808,2450449,64702,
%T A365896 31593277,489125360,343746937,21511079558,3435303323,588969369056,
%U A365896 5227461790937,13006203613950,434431246754441,255046847579760,21684989820772201,128034458842091862
%N A365896 Expansion of e.g.f. exp( Sum_{k>=0} x^(2*k+5) / (2*k+5)! ).
%H A365896 Seiichi Manyama, <a href="/A365896/b365896.txt">Table of n, a(n) for n = 0..599</a>
%F A365896 a(0) = 1; a(n) = Sum_{k=0..floor((n-5)/2)} binomial(n-1,2*k+4) * a(n-2*k-5).
%F A365896 E.g.f.: exp( -x - x^3/6 + sinh(x) ).
%o A365896 (PARI) my(N=40, x='x+O('x^N)); Vec(serlaplace(exp(sum(k=0, N\2, x^(2*k+5)/(2*k+5)!))))
%Y A365896 Cf. A057814, A365897, A365898.
%K A365896 nonn
%O A365896 0,11
%A A365896 _Seiichi Manyama_, Sep 22 2023