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A236287
a(n) = sigma(n)^tau(n), where tau(n) = A000005(n) = the number of divisors of n and sigma(n) = A000203(n) = the sum of divisors of n.
2
1, 9, 16, 343, 36, 20736, 64, 50625, 2197, 104976, 144, 481890304, 196, 331776, 331776, 28629151, 324, 3518743761, 400, 5489031744, 1048576, 1679616, 576, 167961600000000, 29791, 3111696, 2560000, 30840979456, 900, 722204136308736, 1024, 62523502209, 5308416
OFFSET
1,2
LINKS
FORMULA
a(n) = A000203(n)^A000005(n).
EXAMPLE
a(4) = sigma(4)^tau(4) = 7^3 = 343.
MATHEMATICA
Table[DivisorSigma[1, n]^DivisorSigma[0, n], {n, 1000}]
PROG
(PARI) s=[]; for(n=1, 40, s=concat(s, sigma(n, 1)^sigma(n, 0))); s \\ Colin Barker, Jan 24 2014
CROSSREFS
Cf. A000005 (tau(n)), A000203 (sigma(n)), A062758 (n^tau(n)), A217872 (sigma(n)^n), A236285 (tau(n)^sigma(n)), A236286.
Sequence in context: A072470 A053911 A171522 * A329964 A050802 A264519
KEYWORD
nonn
AUTHOR
Jaroslav Krizek, Jan 23 2014
STATUS
approved