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 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