OFFSET
0,3
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..31
FORMULA
a(n) ~ n^(3*n^2/4 - n) * 2^(n^2/4 + 7/6) / exp(3*n^2/8) if n is even.
a(n) ~ n^(3*n^2/4 - n + 1/4) * 2^(n^2/4 - 1/12) / exp(3*n^2/8 - 1/4) if n is odd.
MATHEMATICA
Table[Product[k^k+(n-k)^(n-k), {k, 1, n-1}], {n, 0, 12}]
PROG
(PARI) vector(12, n, n--; prod(k=1, n-1, k^k+(n-k)^(n-k))) \\ G. C. Greubel, Feb 08 2019
(Magma) [1, 1] cat [(&*[k^k + (n-k)^(n-k): k in [1..n-1]]): n in [2..12]]; // G. C. Greubel, Feb 08 2019
(Sage) [product(k^k + (n-k)^(n-k) for k in (1..n-1)) for n in (0..12)] # G. C. Greubel, Feb 08 2019
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Jan 18 2019
STATUS
approved