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A049209 - Product(7*k-1,k=0..n); sept-factorial numbers. +0
6
1, 6, 78, 1560, 42120, 1432080, 58715280, 2818333440, 155008339200, 9610517030400, 663125675097600, 50397551307417600, 4182996758515660800, 376469708266409472000, 36517561701841718784000 (list; graph; listen)
OFFSET

0,2

LINKS

Index entries for sequences related to factorial numbers

FORMULA

a(n)= 6*A034883(n) = (7*n-1)(!^7), n >= 1, a(0) := 1.

a(n) = Prod_{k=1..n} (7*k - 1). a(0) = 1; a(n) = (7*n - 1)*a(n-1) for n > 0. [From Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Nov 10 2008]

MATHEMATICA

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

PROGRAM

(MAGMA) [ -&*[ (7*k-1): k in [0..n-1] ]: n in [1..15] ]; [From Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Nov 10 2008]

CROSSREFS

Cf. A008543.

Row sums of triangle A051186 (scaled Stirling1 triangle).

Sequence in context: A131926 A132866 A094419 this_sequence A162656 A053771 A093033

Adjacent sequences: A049206 A049207 A049208 this_sequence A049210 A049211 A049212

KEYWORD

easy,nonn

AUTHOR

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

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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