A381064 - OEIS

%I #8 Feb 13 2025 02:23:48

%S 0,0,1,0,5,15,94,595,4458,37590,354051,3682646,41935695,518954293,

%T 6935360496,99553094537,1527716784020,24959724735564,432572721886437,

%U 7926615468800172,153129657663788761,3110514839038091643,66278515188844197218,1478222957082474301887

%N Expansion of e.g.f. log(1-x)^2 * exp(-x) / 2.

%F a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(n,k) * |Stirling1(k,2)|.

%o (PARI) a(n) = sum(k=0, n, (-1)^(n-k)*binomial(n, k)*abs(stirling(k, 2, 1)));

%Y Column k=2 of A269953.

%Y Cf. A300490, A381021.

%K nonn

%O 0,5

%A _Seiichi Manyama_, Feb 12 2025