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A236284
a(n) = tau(n)^n, where tau(n) = A000005(n) = the number of divisors of n.
4
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
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
KEYWORD
nonn
AUTHOR
Jaroslav Krizek, Jan 21 2014
STATUS
approved