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A320345 a(n) = Product_{k=0..n} (k^9 + (n-k)^9). 7

%I #22 Jan 26 2019 02:15:26

%S 0,1,524288,101957062669641,27265063485978531856384,

%T 106913106903205778598785400390625,

%U 1052153174824916171740710027027385486934016,50134911460309737788263856880351450247312603708106641,6079819706045473432785376698707222441479676085024627875693723648

%N a(n) = Product_{k=0..n} (k^9 + (n-k)^9).

%H Seiichi Manyama, <a href="/A320345/b320345.txt">Table of n, a(n) for n = 0..64</a>

%F a(n) ~ exp((4*Pi*(sqrt(3) + 6*sin(Pi/9))/9 - 8)*n) * n^(9*n+9).

%t Table[Product[k^9+(n-k)^9, {k, 0, n}], {n, 0, 10}]

%Y Cf. A323538, A323540, A323541, A323542, A323543, A323544, A323545, A323546.

%K nonn

%O 0,3

%A _Vaclav Kotesovec_, Jan 22 2019

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Last modified April 18 06:24 EDT 2024. Contains 371769 sequences. (Running on oeis4.)