A381052 Expansion of e.g.f. log(1 - x)^2 * exp(3*x) / 2.
0, 0, 1, 12, 101, 755, 5494, 40971, 323658, 2764926, 25811091, 263989242, 2951126991, 35886116097, 472073225688, 6682068553689, 101277082202580, 1636520039991324, 28084499373387141, 510104266923895272, 9776178108160101369, 197153249728184351919, 4173367143545298444186
Offset: 0
Keywords
Programs
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PARI
a(n) = sum(k=2, n, 3^(n-k)*binomial(n, k)*abs(stirling(k, 2, 1)));
Formula
a(n) = Sum_{k=2..n} 3^(n-k) * binomial(n,k) * |Stirling1(k,2)|.