A132650 a(n) = d(n)^d(n), where d(n) = A000005(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, 10000000000, 27, 46656

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.

Mathematica

Table[dn=DivisorSigma[0, n]; dn^dn, {n, 50}] (* James C. McMahon, Mar 08 2025 *)

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,changed

Author

Omar E. Pol, Aug 29 2007

Extensions

a(48)-a(50) from James C. McMahon, Mar 08 2025

Status

approved