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Search: id:A084941
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| A084941 |
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Octagorials: n-th polygorial for k=8. |
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+0
14
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| 1, 1, 8, 168, 6720, 436800, 41932800, 5577062400, 981562982400, 220851671040000, 61838467891200000, 21086917550899200000, 8603462360766873600000, 4138265395528866201600000, 2317428621496165072896000000
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OFFSET
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0,3
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FORMULA
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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
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MAPLE
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a := n->n!/2^n*product(6*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, A084939, A084940, A084942, A084943, A084944, A085356.
Sequence in context: A032395 A090228 A039699 this_sequence A139564 A001534 A096486
Adjacent sequences: A084938 A084939 A084940 this_sequence A084942 A084943 A084944
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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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