A174473 G.f.: exp( Sum_{n>=1} A174937(n)*x^n/n ) where A174937(n) = Sum_{d|n} d^tau(d).

1, 1, 3, 6, 25, 36, 294, 368, 1528, 2484, 9134, 14149, 309394, 338144, 1088916, 2036379, 8135079, 11985949, 85274614, 109840952, 443748960, 721070985, 2618157358, 4074809442, 52689585877, 60956862781, 202828562711

Offset: 0

Author

Paul D. Hanna, Apr 04 2010

Keywords

• nonn

Comments

tau(n) = A000005(n) = the number of divisors of n.

Crossrefs

Cf. A174937, A000005 (tau).

Programs

PARI

{a(n)=polcoeff(exp(sum(m=1,n,x^m/m*sumdiv(m,d,d^sigma(d,0)))+x*O(x^n)),n)}