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A377073
a(n) = rad(n)^binomial(bigomega(n) + omega(n) - 1, omega(n)), where rad = A007947, bigomega = A001222, and omega = A001221.
3
1, 2, 3, 4, 5, 216, 7, 8, 9, 1000, 11, 46656, 13, 2744, 3375, 16, 17, 46656, 19, 1000000, 9261, 10648, 23, 60466176, 25, 17576, 27, 7529536, 29, 590490000000000, 31, 32, 35937, 39304, 42875, 60466176, 37, 54872, 59319, 10000000000, 41, 17080198121677824, 43, 113379904
OFFSET
1,2
COMMENTS
Product of row n of A377070.
LINKS
FORMULA
For prime power p^k, k >= 0, a(p^k) = p^k.
For n in A024619, a(n) > n.
MATHEMATICA
Table[Apply[Times, FactorInteger[n][[All, 1]]]^Binomial[PrimeOmega[n] + PrimeNu[n] - 1, PrimeNu[n]], {n, 44}]
KEYWORD
nonn,easy
AUTHOR
Michael De Vlieger, Oct 27 2024
STATUS
approved