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A174464
a(n) = Sum_{d|n} C(n,d)^(n/d).
3
1, 5, 28, 293, 3126, 50432, 823544, 17396773, 388013194, 10184591630, 285311670612, 9001219099424, 302875106592254, 11163682939272372, 437913418466474778, 18489753215468948517, 827240261886336764178
OFFSET
1,2
LINKS
FORMULA
Logarithmic derivative of A174463.
a(n) ~ n^n. - Vaclav Kotesovec, Oct 05 2020
MATHEMATICA
Table[Sum[Binomial[n, d]^(n/d), {d, Divisors[n]}], {n, 1, 20}] (* Vaclav Kotesovec, Oct 05 2020 *)
PROG
(PARI) {a(n)=sumdiv(n, d, binomial(n, d)^(n/d))}
CROSSREFS
Cf. A174463.
Sequence in context: A354899 A057792 A338661 * A372163 A354897 A345632
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Apr 04 2010
STATUS
approved