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.

A349587 E.g.f. satisfies: A(x)^A(x) = 1 + x*A(x).

This page as a plain text file.
%I A349587 #16 Nov 27 2021 04:52:57
%S A349587 1,1,0,-3,4,60,-294,-2800,34504,197568,-6087360,-9146808,1488986808,
%T A349587 -5886157992,-469973309064,5492298353880,177826238321856,
%U A349587 -4277426240130048,-72353540601814464,3537861051231290880,22847222673714931200,-3226666120379253611136
%N A349587 E.g.f. satisfies: A(x)^A(x) = 1 + x*A(x).
%H A349587 Seiichi Manyama, <a href="/A349587/b349587.txt">Table of n, a(n) for n = 0..421</a>
%F A349587 a(n) = Sum_{k=0..n} (n-k+1)^(k-1) * Stirling1(n,k).
%t A349587 a[n_] := Sum[(n - k + 1)^(k - 1)*StirlingS1[n, k], {k, 0, n}]; Array[a, 22, 0] (* _Amiram Eldar_, Nov 23 2021 *)
%o A349587 (PARI) a(n) = sum(k=0, n, (n-k+1)^(k-1)*stirling(n, k, 1));
%Y A349587 Cf. A141209, A349588, A349589.
%Y A349587 Cf. A120980, A162655, A162656.
%K A349587 sign
%O A349587 0,4
%A A349587 _Seiichi Manyama_, Nov 22 2021