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

1,2

Links

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

Formula

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

Example

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

Mathematica

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

Prog

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

Crossrefs

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

Sequence in context: A338314 A288956 A353032 * A276979 A221256 A068208

Adjacent sequences: A236281 A236282 A236283 * A236285 A236286 A236287

Keyword

nonn

Author

Jaroslav Krizek, Jan 21 2014

Status

approved