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A053101 ((6*n+8)(!^6))/8(!^6), related to A034689 (((6*n+2)(!^6))/2 sextic, or 6-factorials). 2
1, 14, 280, 7280, 232960, 8852480, 389509120, 19475456000, 1090625536000, 67618783232000, 4598077259776000, 340257717223424000, 27220617377873920000, 2340973094497157120000, 215369524693738455040000 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Row m=7 of the array A(7; m,n) := ((6*n+m)(!^6))/m(!^6), m >= 0, n >= 0.

FORMULA

a(n) = ((6*n+8)(!^6))/8(!^6)= A034689(n+2)/8; e.g.f.: 1/(1-6*x)^(7/3).

MATHEMATICA

s=1; lst={s}; Do[s+=n*s; AppendTo[lst, s], {n, 13, 5!, 6}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 08 2008]

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: A048668 A001820 A205353 * A205746 A027401 A181192

Adjacent sequences:  A053098 A053099 A053100 * A053102 A053103 A053104

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)

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Last modified February 15 11:03 EST 2012. Contains 205763 sequences.