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 A084943 Decagorials: n-th polygorial for k=10. 19

%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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Last modified May 24 03:17 EDT 2013. Contains 225613 sequences.