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A051619
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(4*n+7)(!^4)/7(!^4), related to A034176(n+1) ((4*n+3)(!^4) quartic, or 4-factorials).
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0
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1, 11, 165, 3135, 72105, 1946835, 60351885, 2112315975, 82380323025, 3542353890075, 166490632833525, 8491022274509775, 467006225098037625, 27553367280784219875, 1735862138689405852125, 116302763292190192092375
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Row m=7 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+7)(!^4))/7(!^4)= A034176(n+2)/7; e.g.f.: 1/(1-4*x)^(11/4).
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MATHEMATICA
| s=1; lst={s}; Do[s+=n*s; AppendTo[lst, s], {n, 10, 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: A205086 A141876 A174364 * A142513 A075141 A088293
Adjacent sequences: A051616 A051617 A051618 * A051620 A051621 A051622
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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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