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.

A381107 Expansion of e.g.f. -log(1-x) * (exp(x) - 1) / (1-x).

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%I A381107 #10 Feb 14 2025 04:03:05
%S A381107 0,0,2,12,66,395,2665,20307,173488,1646745,17216653,196730567,
%T A381107 2440331300,32666847941,469457190501,7210003071247,117862325748960,
%U A381107 2043420738374545,37453428525580725,723643767046525111,14700326905250293556,313236372986056228013,6985951253209713959645
%N A381107 Expansion of e.g.f. -log(1-x) * (exp(x) - 1) / (1-x).
%F A381107 a(n) = Sum_{k=0..n-1} binomial(n,k) * |Stirling1(k+1,2)|.
%F A381107 a(n) = A073596(n) - A000254(n).
%o A381107 (PARI) a(n) = sum(k=0, n-1, binomial(n, k)*abs(stirling(k+1, 2, 1)));
%Y A381107 Cf. A002627, A381108.
%Y A381107 Cf. A000254, A073596.
%K A381107 nonn
%O A381107 0,3
%A A381107 _Seiichi Manyama_, Feb 14 2025