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

0,4

Links

Winston de Greef, Table of n, a(n) for n = 0..415

Formula

a(n) = n! * Sum_{k=1..n} (-n+1)^(k-1) * binomial(n-1,n-k)/k! for n>0.

Prog

(PARI) a(n) = if(n==0, 1, n!*sum(k=1, n, (-n+1)^(k-1)*binomial(n-1, n-k)/k!));

Crossrefs

Cf. A052873, A361093, A361094, A361096, A361097.

Sequence in context: A155088 A072871 A041709 * A362835 A371140 A371121

Adjacent sequences: A361092 A361093 A361094 * A361096 A361097 A361098

Keyword

sign

Author

Seiichi Manyama, Mar 01 2023

Status

approved