A361090 E.g.f. satisfies A(x) = exp( x/(1 - x/A(x)) ).

1, 1, 3, 7, -11, -239, -179, 24991, 192025, -3955391, -89483399, 552615031, 46231717621, 254468241457, -26683006147979, -571848064714289, 14926049610344881, 825004339886219521, -2973711136010539535, -1134313888244827421465, -17734152216328857754739

Offset: 0

Author

Seiichi Manyama, Mar 01 2023

Keywords

• sign

Links

• Winston de Greef, Table of n, a(n) for n = 0..399

Crossrefs

Cf. A161630, A212722, A212917, A361091, A361092.

Cf. A361067, A361095.

Programs

PARI

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

Formula

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