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

0,3

Comments

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

Links

Table of n, a(n) for n=0..26.

Prog

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

Crossrefs

Cf. A174937, A000005 (tau).

Sequence in context: A304186 A288760 A144227 * A148657 A148658 A148659

Adjacent sequences: A174470 A174471 A174472 * A174474 A174475 A174476

Keyword

nonn

Author

Paul D. Hanna, Apr 04 2010

Status

approved