A348431 - OEIS

A348431

a(n) = (n')^(n'), where ' is the arithmetic derivative of n.

1, 1, 1, 1, 256, 1, 3125, 1, 8916100448256, 46656, 823543, 1, 18446744073709551616, 1, 387420489, 16777216, 1461501637330902918203684832716283019655932542976, 1, 5842587018385982521381124421, 1, 1333735776850284124449081472843776, 10000000000, 302875106592253

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OFFSET

0,5

COMMENTS

a(p) = 1 for primes p since we have a(p) = (p')^(p') = 1^1 = 1.

LINKS

Table of n, a(n) for n=0..22.

FORMULA

a(n) = A000312(A003415(n)).

MAPLE

a:= n-> (t-> t^t)(n*add(i[2]/i[1], i=ifactors(n)[2])):

seq(a(n), n=0..23); # Alois P. Heinz, Oct 20 2021