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A236284 a(n) = tau(n)^n, where tau(n) = A000005(n) = the number of divisors of n. 3
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 (list; graph; refs; listen; history; text; internal format)
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: A240503 A221484 A288956 * A276979 A221256 A068208

Adjacent sequences:  A236281 A236282 A236283 * A236285 A236286 A236287

KEYWORD

nonn

AUTHOR

Jaroslav Krizek, Jan 21 2014

STATUS

approved

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Last modified February 16 21:46 EST 2020. Contains 331975 sequences. (Running on oeis4.)