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A051621
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(4*n+9)(!^4)/9(!^4), related to A007696(n+1) ((4*n+1)(!^4) quartic, or 4-factorials).
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1
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1, 13, 221, 4641, 116025, 3364725, 111035925, 4108329225, 168441498225, 7579867420125, 371413503586125, 19684915690064625, 1122040194333683625, 68444451854354701125, 4448889370533055573125, 306973366566780834545625
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Row m=9 of the array A(5; m,n) := ((4*n+m)(!^4))/m(!^4), m >= 0, n >= 0.
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FORMULA
| a(n) = ((4*n+9)(!^4))/9(!^4)= A007696(n+3)/(5*9); e.g.f.: 1/(1-4*x)^(13/4).
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MATHEMATICA
| s=1; lst={s}; Do[s+=n*s; AppendTo[lst, s], {n, 12, 5!, 4}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 08 2008]
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CROSSREFS
| Cf. A047053, A007696(n+1), A000407, A034176(n+1), A034177(n+1), A051617-A051622 (rows m=0..10).
Sequence in context: A059525 A086147 A015253 * A173427 A051180 A143832
Adjacent sequences: A051618 A051619 A051620 * A051622 A051623 A051624
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KEYWORD
| easy,nonn
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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