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

1,2

Links

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

Formula

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

Example

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

Mathematica

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

Prog

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

Crossrefs

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

Sequence in context: A109585 A284438 A375103 * A247850 A024280 A115434

Adjacent sequences: A236282 A236283 A236284 * A236286 A236287 A236288

Keyword

nonn

Author

Jaroslav Krizek, Jan 21 2014

Status

approved