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A176147
a(n) = n^sopf(n), where sopf(n) is the sum of the distinct primes dividing n (A008472).
1
1, 4, 27, 16, 3125, 7776, 823543, 64, 729, 10000000, 285311670611, 248832, 302875106592253, 20661046784, 2562890625, 256, 827240261886336764177, 1889568, 1978419655660313589123979, 1280000000, 16679880978201
OFFSET
1,2
FORMULA
a(n) = n^A008472(n).
EXAMPLE
a(1) = 1^0 = 1;
a(2) = 2^2 = 4;
a(3) = 3^3 = 27;
a(4) = 4^2 = 16.
MATHEMATICA
Table[n^Total[Transpose[FactorInteger[n]][[1]]], {n, 20}]
CROSSREFS
Cf. A008472.
Sequence in context: A108139 A351365 A200768 * A176031 A093845 A351747
KEYWORD
nonn
AUTHOR
Michel Lagneau, Apr 10 2010
STATUS
approved