OFFSET
0,3
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..27
FORMULA
a(n) ~ c * 2^(n^2) * n^(n^2) / exp(n^2), where
c = 1.7567468186007109703792640049745420817202851050652253469714... if n is even,
c = 1.8080216158688347442204158454365469233524049331246880759722... if n is odd.
MATHEMATICA
Table[Product[k^n+(n-k)^n, {k, 1, n}], {n, 0, 10}]
PROG
(PARI) vector(10, n, n--; prod(k=1, n, k^n+(n-k)^n)) \\ G. C. Greubel, Feb 08 2019
(Magma) [1] cat [(&*[k^n +(n-k)^n: k in [1..n]]): n in [1..10]]; // G. C. Greubel, Feb 08 2019
(Sage) [product(k^n +(n-k)^n for k in (1..n)) for n in (0..10)] # G. C. Greubel, Feb 08 2019
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Jan 18 2019
STATUS
approved