A361095 E.g.f. satisfies A(x) = exp( 1/(1 - x/A(x)) - 1 ).
1, 1, 1, -2, -3, 56, -155, -2736, 34489, 72064, -6599799, 53676800, 1155350581, -32238425088, -3604716947, 14790925735936, -235482791871375, -4972572910452736, 254158358486634001, -1028499606209101824, -202204782754527137939, 5371925138905661440000
Offset: 0
Keywords
Links
- Winston de Greef, Table of n, a(n) for n = 0..415
Programs
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PARI
a(n) = if(n==0, 1, n!*sum(k=1, n, (-n+1)^(k-1)*binomial(n-1, n-k)/k!));
Formula
a(n) = n! * Sum_{k=1..n} (-n+1)^(k-1) * binomial(n-1,n-k)/k! for n>0.