A111535 a(n) = A111534(n)/n = A111528(n,n)/n for n>=1.

1, 2, 11, 104, 1409, 24912, 543479, 14098112, 423643509, 14464318560, 552830505347, 23375870438400, 1083128382648857, 54563592529048064, 2968656741661668975, 173460812744585863168, 10832194187368473624893

Offset: 1

Author

Paul D. Hanna, Aug 06 2005

Keywords

• nonn

Links

• Vaclav Kotesovec, Table of n, a(n) for n = 1..364

Crossrefs

Cf: A111528 (table), A003319 (row 1), A111529 (row 2), A111530 (row 3), A111531 (row 4), A111532 (row 5), A111533 (row 6).

Programs

PARI

{a(n)=if(n<1, 0, (1/n)*polcoeff(log(sum(m=0, n, (n-1+m)!/(n-1)!*x^m) + x*O(x^n)), n))}

Formula

a(n) = [x^n] (1/n)*Log( Sum_{m=0..n} (n-1+m)!/(n-1)!*x^m ) for n>=1.

a(n) ~ n! * 4^(n-1) / (sqrt(Pi) * n^(3/2)). - Vaclav Kotesovec, Jul 27 2015

Extensions

PARI program fixed by Vaclav Kotesovec, Jul 27 2015