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Search: id:A084943
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| A084943 |
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Decagorials: n-th polygorial for k=10. |
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+0
14
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| 1, 1, 10, 270, 14040, 1193400, 150368400, 26314470000, 6104957040000, 1813172240880000, 670873729125600000, 302564051835645600000, 163384587991248624000000, 104075982550425373488000000
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OFFSET
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0,3
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FORMULA
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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
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MAPLE
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a := n->n!/2^n*product(8*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, A084941, A084942, A084944, A085356.
Sequence in context: A055408 A166811 A089906 this_sequence A055055 A153331 A117654
Adjacent sequences: A084940 A084941 A084942 this_sequence A084944 A084945 A084946
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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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