A236284 a(n) = tau(n)^n, where tau(n) = A000005(n) = the number of divisors of n.

1, 4, 8, 81, 32, 4096, 128, 65536, 19683, 1048576, 2048, 2176782336, 8192, 268435456, 1073741824, 152587890625, 131072, 101559956668416, 524288, 3656158440062976, 4398046511104, 17592186044416, 8388608, 4722366482869645213696, 847288609443, 4503599627370496

Offset: 1

Author

Jaroslav Krizek, Jan 21 2014

Keywords

• nonn

Examples

			a(4) = tau(4)^4 = 3^4 = 81.
		

Links

• Jaroslav Krizek, Table of n, a(n) for n = 1..100

Crossrefs

Cf. A000005 (tau(n)), A062758 (n^tau(n)), A217872 (sigma(n)^n), A236285 (tau(n)^sigma(n)), A236286.

Programs

Mathematica

Table[DivisorSigma[0, n]^n, {n, 1000}]

PARI

s=[]; for(n=1, 30, s=concat(s, sigma(n, 0)^n)); s \\ Colin Barker, Jan 22 2014

Formula

a(n) = A000005(n)^n.