A135752 E.g.f.: A(x) = 1 + Sum_{n>=1} (1/n!)*Product_{k=1..n} [exp(kx) - 1].

1, 1, 3, 16, 129, 1436, 20853, 379716, 8421969, 222507532, 6879755613, 245389976756, 9977456650329, 457823345757948, 23505009169553733, 1340233911805244836, 84321693844646338209, 5820386696023034821484

Offset: 0

Author

Paul D. Hanna, Nov 27 2007

Keywords

• nonn

Links

• Vaclav Kotesovec, Table of n, a(n) for n = 0..180

Programs

PARI

{a(n)=n!*polcoeff(1+sum(j=1,n,(1/j!)*prod(k=1,j,exp(k*x +x*O(x^n))-1)),n)}