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%I
%S 1,1,8,168,6720,436800,41932800,5577062400,981562982400,
%T 220851671040000,61838467891200000,21086917550899200000,
%U 8603462360766873600000,4138265395528866201600000,2317428621496165072896000000
%N Octagorials: n-th polygorial for k=8.
%F A084941(n) = Polygorial(n, 8) = A000142(n)/A000079(n)*A047657(n) = n!/2^n*product(6*i+2, i=0..n-1) = n!/2^n*6^n*pochhammer(1/3, n) = n!/2*3^n*sqrt(3)*GAMMA(n+1/3)*GAMMA(2/3)/Pi
%p a := n->n!/2^n*product(6*i+2,i=0..n-1); [seq(a(j),j=0..30)];
%Y Cf. A006472, A001044, A000680, A084939, A084940, A084942, A084943, A084944, A085356.
%K easy,nonn
%O 0,3
%A Daniel Dockery (peritus(AT)gmail.com) Jun 13 2003
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