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 A381064 #8 Feb 13 2025 02:23:48 %S A381064 0,0,1,0,5,15,94,595,4458,37590,354051,3682646,41935695,518954293, %T A381064 6935360496,99553094537,1527716784020,24959724735564,432572721886437, %U A381064 7926615468800172,153129657663788761,3110514839038091643,66278515188844197218,1478222957082474301887 %N A381064 Expansion of e.g.f. log(1-x)^2 * exp(-x) / 2. %F A381064 a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(n,k) * |Stirling1(k,2)|. %o A381064 (PARI) a(n) = sum(k=0, n, (-1)^(n-k)*binomial(n, k)*abs(stirling(k, 2, 1))); %Y A381064 Column k=2 of A269953. %Y A381064 Cf. A300490, A381021. %K A381064 nonn %O A381064 0,5 %A A381064 _Seiichi Manyama_, Feb 12 2025