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 A365898 #15 Sep 23 2023 07:26:16
%S A365898 1,0,0,0,0,1,0,0,0,1,126,0,0,1,2002,126126,0,1,32878,11639628,
%T A365898 488864376,1,523754,962159506,164910249504,5194672859377,8390630,
%U A365898 79198593760,44919303188760,4895979169961881,123378675217248882,6434084214390,11762691848427520
%N A365898 Expansion of e.g.f. exp( Sum_{k>=0} x^(4*k+5) / (4*k+5)! ).
%H A365898 Seiichi Manyama, <a href="/A365898/b365898.txt">Table of n, a(n) for n = 0..609</a>
%F A365898 a(0) = 1; a(n) = Sum_{k=0..floor((n-5)/4)} binomial(n-1,4*k+4) * a(n-4*k-5).
%F A365898 E.g.f.: exp( -x + (sinh(x) + sin(x))/2 ).
%o A365898 (PARI) my(N=40, x='x+O('x^N)); Vec(serlaplace(exp(sum(k=0, N\4, x^(4*k+5)/(4*k+5)!))))
%Y A365898 Cf. A057814, A365896, A365897.
%K A365898 nonn
%O A365898 0,11
%A A365898 _Seiichi Manyama_, Sep 22 2023