cp's OEIS Frontend

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.

A355210 E.g.f. A(x) satisfies A'(x) = 1 + A(2 * (exp(x) - 1)).

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%I A355210 #14 Jun 25 2022 07:37:34
%S A355210 1,2,10,106,2234,90570,6986490,1026623306,289475035770,
%T A355210 158101579596106,168768027732007674,354715566244066506058,
%U A355210 1476006372586517922472826,12205618234758923312503183690,201082085503026084194089831880698
%N A355210 E.g.f. A(x) satisfies A'(x) = 1 + A(2 * (exp(x) - 1)).
%H A355210 Seiichi Manyama, <a href="/A355210/b355210.txt">Table of n, a(n) for n = 1..81</a>
%F A355210 a(1) = 1; a(n+1) = Sum_{k=1..n} 2^k * Stirling2(n,k) * a(k).
%o A355210 (PARI) a_vector(n) = my(v=vector(n)); v[1]=1; for(i=1, n-1, v[i+1]=sum(j=1, i, 2^j*stirling(i, j, 2)*v[j])); v;
%Y A355210 Cf. A003659, A355131, A355206.
%K A355210 nonn
%O A355210 1,2
%A A355210 _Seiichi Manyama_, Jun 24 2022