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

Author

Omar E. Pol, Aug 29 2007

Keywords

• easy
• nonn

Examples

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

Links

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

Crossrefs

Cf. A000005, A008973, A008974, A051674.

Programs

Mathematica

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

Formula

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

Extensions

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