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Search: id:A084939
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| A084939 |
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Pentagorials: n-th polygorial for k=5. |
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+0
14
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| 1, 1, 5, 60, 1320, 46200, 2356200, 164934000, 15173928000, 1775349576000, 257425688520000, 45306921179520000, 9514453447699200000, 2350070001581702400000, 674470090453948588800000
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OFFSET
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0,3
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FORMULA
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A084939(n) = Polygorial(n, 5) = A000142(n)/A000079(n)*A008544(n) = n!/2^n*product(3*i+2, i=0..n-1) = n!/2^n*3^n*pochhammer(2/3, n) = n!/2^n*3^n*GAMMA(n+2/3)/GAMMA(2/3)
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MAPLE
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a := n->n!/2^n*product(3*i+2, i=0..n-1); [seq(a(j), j=0..30)];
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CROSSREFS
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Cf. A006472, A001044, A000680, A084940, A084941, A084942, A084943, A084944, A085356.
Sequence in context: A138215 A010793 A138447 this_sequence A162129 A141967 A139915
Adjacent sequences: A084936 A084937 A084938 this_sequence A084940 A084941 A084942
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KEYWORD
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easy,nonn
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AUTHOR
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Daniel Dockery (peritus(AT)gmail.com) Jun 13 2003
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