A236285 a(n) = tau(n)^sigma(n), where tau(n) = A000005(n) = the number of divisors of n and sigma(n) = A000203(n) = the sum of divisors of n.

1, 8, 16, 2187, 64, 16777216, 256, 1073741824, 1594323, 68719476736, 4096, 6140942214464815497216, 16384, 281474976710656, 281474976710656, 4656612873077392578125, 262144, 2227915756473955677973140996096, 1048576, 481229803398374426442198455156736

Offset: 1

Author

Jaroslav Krizek, Jan 21 2014

Keywords

• nonn

Examples

			a(4) = tau(4)^sigma(4) = 3^7 = 2187.
		

Links

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

Crossrefs

Cf. A000005 (tau(n)), A000203 (sigma(n)), A062758 (n^tau(n)), A217872 (sigma(n)^n), A236284 (tau(n)^n), A236286.

Programs

Mathematica

Table[DivisorSigma[0, n]^DivisorSigma[1, n], {n, 1000}]

PARI

s=[]; for(n=1, 20, s=concat(s, sigma(n, 0)^sigma(n))); s \\ Colin Barker, Jan 22 2014

Formula

a(n) = A000005(n)^A000203(n).