

A324438


a(n) = Product_{i=1..n, j=1..n} (i^5 + j^5).


5




OFFSET

1,1


LINKS

Table of n, a(n) for n=1..5.


FORMULA

a(n) ~ c * 2^(2*n*(n+1)) * phi^(sqrt(5)*n*(n+1)) * exp(Pi*sqrt(phi)*n*(n+1)/5^(1/4)  15*n^2/2) * n^(5*n^2  5/4), where phi = A001622 = (1+sqrt(5))/2 is the golden ratio and c = 0.1574073828647726237455544898360432469056972905505624900871695...


MATHEMATICA

Table[Product[i^5 + j^5, {i, 1, n}, {j, 1, n}], {n, 1, 6}]


CROSSREFS

Cf. A079478, A324403, A324426, A324437, A324439, A324440.
Sequence in context: A319022 A003840 A122540 * A167518 A178168 A271669
Adjacent sequences: A324435 A324436 A324437 * A324439 A324440 A324441


KEYWORD

nonn


AUTHOR

Vaclav Kotesovec, Feb 28 2019


STATUS

approved



