A132650 Number of divisors of n, d(n) raised to power d(n).

1, 4, 4, 27, 4, 256, 4, 256, 27, 256, 4, 46656, 4, 256, 256, 3125, 4, 46656, 4, 46656, 256, 256, 4, 16777216, 27, 256, 256, 46656, 4, 16777216, 4, 46656, 256, 256, 256, 387420489, 4, 256, 256, 16777216, 4, 16777216, 4, 46656, 46656, 256, 4

Offset

1,2

Links

Antti Karttunen, Table of n, a(n) for n = 1..1024

Formula

a(n) = d(n)^d(n), where d(n) = A000005(n).

Example

a(12) = 46656 because d(12) = 6 and we can write 46656 = 6^6 or 46656 =

Crossrefs

Cf. A000005, A008973, A008974, A051674.

Sequence in context: A171633 A221276 A117429 * A112953 A110139 A078146

Adjacent sequences: A132647 A132648 A132649 * A132651 A132652 A132653

Keyword

easy,nonn

Author

Omar E. Pol, Aug 29 2007

Status

approved