A323660 - OEIS

%I #8 Jan 27 2019 03:03:39

%S 0,1,8388608,131750272043485209,2261269183430619234140422144,

%T 1346827225363533058227598667144775390625,

%U 1957831179567376680040414825610884198366949236801536,23448342360429805388842947812883850305932149345203144459397169329

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

%H Seiichi Manyama, <a href="/A323660/b323660.txt">Table of n, a(n) for n = 0..55</a>

%F 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).

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

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

%K nonn

%O 0,3

%A _Vaclav Kotesovec_, Jan 23 2019