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Search: id:A084948
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| A084948 |
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Product(8*i+2,i=0..n-1). |
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+0
10
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| 1, 2, 20, 360, 9360, 318240, 13366080, 668304000, 38761632000, 2558267712000, 189311810688000, 15523568476416000, 1397121162877440000, 136917873961989120000, 14513294639970846720000
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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A084948(n) = A084943(n)/A000142(n)*A000079(n) = 8^n*pochhammer(1/4, n) = 1/2*GAMMA(n+1/4)*sqrt(2)*GAMMA(3/4)*8^n/Pi
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MAPLE
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a := n->product(8*i+2, i=0..n-1); [seq(a(j), j=0..30)];
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MATHEMATICA
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s=1; lst={s}; Do[s+=n*s; AppendTo[lst, s], {n, 1, 5!, 8}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 08 2008]
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CROSSREFS
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Cf. A000165, A008544, A001813, A047055, A047657, A084947, A084949.
Sequence in context: A128481 A104462 A060164 this_sequence A009236 A078698 A090728
Adjacent sequences: A084945 A084946 A084947 this_sequence A084949 A084950 A084951
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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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