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A084942 Enneagorials: n-th polygorial for k=9. +0
14
1, 1, 9, 216, 9936, 745200, 82717200, 12738448800, 2598643555200, 678245967907200, 220429939569840000, 87290256069656640000, 41375581377017247360000, 23128949989752641274240000 (list; graph; listen)
OFFSET

0,3

FORMULA

A084942(n) = Polygorial(n, 9) = A000142(n)/A000079(n)*A084947(n) = n!/2^n*product(7*i+2, i=0..n-1) = n!/2^n*7^n*pochhammer(2/7, n) = n!/2^n*7^n*GAMMA(n+2/7)/GAMMA(2/7)

MAPLE

a := n->n!/2^n*product(7*i+2, i=0..n-1); [seq(a(j), j=0..30)];

CROSSREFS

Cf. A006472, A001044, A000680, A084939, A084940, A084941, A084943, A084944, A085356.

Sequence in context: A007108 A007107 A064633 this_sequence A061718 A085741 A079913

Adjacent sequences: A084939 A084940 A084941 this_sequence A084943 A084944 A084945

KEYWORD

easy,nonn

AUTHOR

Daniel Dockery (peritus(AT)gmail.com) Jun 13 2003

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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