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 A380213 #10 Jan 17 2025 09:05:42
%S A380213 1,5,60,965,19315,459420,12597775,389902175,13410470700,506509866575,
%T A380213 20811096098725,923085833362500,43921261488000625,2229827043134538125,
%U A380213 120239258292160027500,6859351794101350278125,412554191158956599261875,26080572238227541202917500
%N A380213 Expansion of e.g.f. exp( 1/(1-2*x)^(5/2) - 1 ).
%F A380213 a(n) = Sum_{k=0..n} 5^k * 2^(n-k) * |Stirling1(n,k)| * Bell(k).
%F A380213 a(n) = (1/e) * (-2)^n * n! * Sum_{k>=0} binomial(-5*k/2,n)/k!.
%o A380213 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(1/(1-2*x)^(5/2)-1)))
%Y A380213 Cf. A049118, A380212.
%K A380213 nonn
%O A380213 0,2
%A A380213 _Seiichi Manyama_, Jan 16 2025