A323660 a(n) = Product_{k=0..n} (k^11 + (n-k)^11).

0, 1, 8388608, 131750272043485209, 2261269183430619234140422144, 1346827225363533058227598667144775390625, 1957831179567376680040414825610884198366949236801536, 23448342360429805388842947812883850305932149345203144459397169329

Offset: 0

Author

Vaclav Kotesovec, Jan 23 2019

Keywords

• nonn

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..55

Crossrefs

Cf. A323540, A323541, A323542, A323543, A323544, A323545, A323546, A320345, A323659, A323661, A323662.

Programs

Mathematica

Table[Product[k^11+(n-k)^11, {k, 0, n}], {n, 0, 10}]

Formula

a(n) ~ exp((2*Pi*sqrt((1225 + 504*cos(2*Pi/11) + 1512*sin(Pi/22) - 1264*sin(3*Pi/22) + 240*sin(5*Pi/22))/11)/11 - 10)*n) * n^(11*n+11).