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%I
%S 1,1,10,270,14040,1193400,150368400,26314470000,6104957040000,
%T 1813172240880000,670873729125600000,302564051835645600000,
%U 163384587991248624000000,104075982550425373488000000
%N Decagorials: n-th polygorial for k=10.
%F A084943(n) = Polygorial(n, 10) = A000142(n)/A000079(n)*A084948(n) = n!/2^n*product(8*i+2, i=0..n-1) = n!/2^n*8^n*pochhammer(1/4, n) = n!/2*4^n*GAMMA(n+1/4)*sqrt(2)*GAMMA(3/4)/Pi
%p a := n->n!/2^n*product(8*i+2,i=0..n-1); [seq(a(j),j=0..30)];
%Y Cf. A006472, A001044, A000680, A084939, A084940, A084941, A084942, A084944, A085356.
%K easy,nonn
%O 0,3
%A Daniel Dockery (peritus(AT)gmail.com) Jun 13 2003
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