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A375842
a(n) = Product_{k=0..n} (k^5 + n).
6
0, 2, 204, 103320, 182819520, 886613565600, 9973411835945040, 230723130088707984000, 10026790739932043582668800, 762878670971305314645055065600, 96049580303627434572710125880376000, 19110279123993980912852049573590159155200
OFFSET
0,2
FORMULA
a(n) ~ n^(5*n + 3) / exp(5*n - Pi * sqrt(2*(1+sqrt(5))) * n^(1/5) / 5^(1/4)).
MATHEMATICA
Table[Product[k^5 + n, {k, 0, n}], {n, 0, 15}]
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Aug 31 2024
STATUS
approved