A062959 Number of divisors of n^(n!) (A053986).

1, 3, 7, 49, 121, 519841, 5041, 120961, 725761, 13168196697601, 39916801, 458885067042124801, 6227020801, 7600054456726354022401, 1710012252726814772736001, 83691159552001, 355687428096001, 81980778135594585487141085184001, 121645100408832001

Offset

1,2

Links

Alois P. Heinz, Table of n, a(n) for n = 1..100

Maple

a:= n-> mul(n!*i[2]+1, i=ifactors(n)[2]):
seq (a(n), n=1..20);  # Alois P. Heinz, Dec 17 2011

Prog

(PARI) for(n=1, 13, print(numdiv(n^(n!))))

Crossrefs

Cf. A053986, A000005.

Sequence in context: A354845 A327578 A358593 * A275830 A190444 A118393

Adjacent sequences: A062956 A062957 A062958 * A062960 A062961 A062962

Keyword

nonn

Author

Jason Earls, Jul 22 2001

Extensions

More terms from Henry Bottomley, Jul 24 2001

More terms from Alois P. Heinz, Dec 17 2011

Status

approved