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A053100
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((6*n+7)(!^6))/7, related to A008542 ((6*n+1)(!^6) sextic, or 6-factorials).
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4
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1, 13, 247, 6175, 191425, 7082725, 304557175, 14923301575, 820781586625, 50067676784125, 3354534344536375, 244881007151155375, 19345599564941274625, 1644375963020008343125, 149638212634820759224375
(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(7; m,n) := ((6*n+m)(!^6))/m(!^6), m >= 0, n >= 0.
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FORMULA
| a(n) = ((6*n+7)(!^6))/7(!^6)= A008542(n+2)/7; e.g.f.: 1/(1-6*x)^(13/6).
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MATHEMATICA
| s=1; lst={s}; Do[s+=n*s; AppendTo[lst, s], {n, 12, 5!, 6}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 08 2008]
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CROSSREFS
| Cf. A047058, A008542(n+1), A034689(n+1), A034723(n+1), A034724(n+1), A034787(n+1), A034788(n+1), A053100-A053103 (rows m=0..10).
Sequence in context: A049665 A196665 A027400 * A183416 A126422 A106738
Adjacent sequences: A053097 A053098 A053099 * A053101 A053102 A053103
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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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