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A034689 One half of sextic factorial numbers. +0
13
1, 8, 112, 2240, 58240, 1863680, 70819840, 3116072960, 155803648000, 8725004288000, 540950265856000, 36784618078208000, 2722061737787392000, 217764939022991360000, 18727784755977256960000 (list; graph; listen)
OFFSET

1,2

FORMULA

2*a(n) = (6*n-4)(!^6) := product(6*j-4, j=1..n) = 2^n*A007559(n), A007559(n)=(3*n-2)(!^3) := product(3*j-2, j=1..n); E.g.f. (-1+(1-6*x)^(-1/3))/2.)

MATHEMATICA

s=1; lst={s}; Do[s+=n*s; AppendTo[lst, s], {n, 7, 5!, 6}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 08 2008]

CROSSREFS

Cf. A008542, A007559.

Sequence in context: A139741 A067900 A067414 this_sequence A010041 A099703 A164774

Adjacent sequences: A034686 A034687 A034688 this_sequence A034690 A034691 A034692

KEYWORD

easy,nonn

AUTHOR

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

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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