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 A365419 #41 Sep 24 2023 11:06:30
%S A365419 1,0,1,0,3,0,15,1,105,36,945,990,10396,25740,136942,675675,2238405,
%T A365419 18378361,50490765,523833819,1665638325,15790609395,71976549646,
%U A365419 515107015830,3524757498023,19222751356875,181500385651325,888496839591076,9603885700913400
%N A365419 Expansion of e.g.f. exp( Sum_{k>=0} x^(5*k+2) / (5*k+2)! ).
%F A365419 a(0)=1; a(n) = Sum_{k=0..floor((n-2)/5)} binomial(n-1,5*k+1) * a(n-5*k-2).
%o A365419 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(sum(k=0, N\5, x^(5*k+2)/(5*k+2)!))))
%Y A365419 Cf. A000296, A365338.
%K A365419 nonn
%O A365419 0,5
%A A365419 _Seiichi Manyama_, Sep 22 2023