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A110088
a(n) = tau(n)^omega(n), where tau = A000005 and omega = A001221.
7
1, 2, 2, 3, 2, 16, 2, 4, 3, 16, 2, 36, 2, 16, 16, 5, 2, 36, 2, 36, 16, 16, 2, 64, 3, 16, 4, 36, 2, 512, 2, 6, 16, 16, 16, 81, 2, 16, 16, 64, 2, 512, 2, 36, 36, 16, 2, 100, 3, 36, 16, 36, 2, 64, 16, 64, 16, 16, 2, 1728, 2, 16, 36, 7, 16, 512, 2, 36, 16, 512, 2, 144, 2, 16, 36, 36, 16
OFFSET
1,2
COMMENTS
a(n) depends only on the prime signature of n.
LINKS
FORMULA
a(n) = A000005(n)^A001221(n).
MATHEMATICA
a[n_] := DivisorSigma[0, n]^PrimeNu[n]; Array[a, 100] (* Amiram Eldar, Sep 15 2024 *)
PROG
(Haskell)
a110088 n = a000005 n ^ a001221 n -- Reinhard Zumkeller, Aug 05 2014
(PARI) a(n) = {my(f = factor(n)); numdiv(f)^omega(f); } \\ Amiram Eldar, Sep 15 2024
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Reinhard Zumkeller, Jul 11 2005
STATUS
approved