A381066 Expansion of e.g.f. log(1-x)^4 * exp(-x) / 24.
0, 0, 0, 0, 1, 5, 40, 315, 2779, 26817, 282785, 3240325, 40144126, 535152332, 7642713715, 116465389950, 1886911421914, 32395513943998, 587627463812070, 11231176543495238, 225621300685737631, 4753177896741075823, 104793882332694641218, 2413274241933067193021
Offset: 0
Keywords
Programs
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PARI
a(n) = sum(k=0, n, (-1)^(n-k)*binomial(n, k)*abs(stirling(k, 4, 1)));
Formula
a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(n,k) * |Stirling1(k,4)|.