A085295 E.g.f. satisfies exp(x*Sum_{n>=0} ceiling(a(n)/n!)*x^n) = Sum_{n>=0} a(n)*x^n/n!.

1, 1, 3, 19, 169, 1881, 25051, 403243, 7660689, 166148209, 4069854451, 111107009091, 3344729082553, 110080145959369, 3932437848451659, 151548546279803611, 6267252988546789921, 276842139798867249633

Offset

0,3

Links

Table of n, a(n) for n=0..17.

Formula

Ceiling(a(n)/n!) = A085294(n).

Prog

(PARI) {a(n)=local(A); if(n<0, 0, A=1+O(x); for(m=1, n, A=Pol(A)+x^m*(ceil(polcoeff(exp(x*A), m))+O(x)); ); n!*polcoeff(exp(x*A), n))}

Crossrefs

Cf. A085294, A085023.

Sequence in context: A080835 A080836 A059280 * A094956 A080894 A143768

Adjacent sequences: A085292 A085293 A085294 * A085296 A085297 A085298

Keyword

nonn

Author

Paul D. Hanna, Jun 24 2003

Status

approved