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Revision History for A114779

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Cumulative product of quadruple factorial A007662.
(history; published version)
#8 by Georg Fischer at Thu Jan 25 14:30:20 EST 2024
STATUS

editing

approved

#7 by Georg Fischer at Thu Jan 25 14:30:14 EST 2024
FORMULA

a(n) = Product_{j=0..n} j!!!!.

a(n) = Product_{j=0..n} A007662(j).

a(n) = n!!!! * a(n-1) where a(0) = 1, a(1) = 1 and n >= 2.

a(n) = Prod[i=0 to n] n!!!!. a(n) = Prod[i=0 to n] A007662(n). a(n) = n!!!! * a(n-1) where a(0) = 1, a(1) = 1 and n >= 2. a(n) = n*(n-4)!!!! * a(n-1) where a(0) = 1, a(1) = 1, a(2) = 2.

STATUS

approved

editing

#6 by Russ Cox at Fri Mar 30 18:40:35 EDT 2012
AUTHOR

_Jonathan Vos Post (jvospost3(AT)gmail.com), _, Feb 18 2006

Discussion
Fri Mar 30
18:40
OEIS Server: https://oeis.org/edit/global/228
#5 by N. J. A. Sloane at Fri Jan 09 03:00:00 EST 2009
KEYWORD

easy,nonn,new

AUTHOR

Jonathan Vos Post (jvospost2jvospost3(AT)yahoogmail.com), Feb 18 2006

#4 by N. J. A. Sloane at Sun Jun 29 03:00:00 EDT 2008
LINKS

Eric W. Weisstein, 's World of Mathematics, <a href="http://mathworld.wolfram.com/Multifactorial.html">Multifactorial.</a>

KEYWORD

easy,nonn,new

#3 by N. J. A. Sloane at Sat Nov 10 03:00:00 EST 2007
CROSSREFS
KEYWORD

easy,nonn,new

#2 by N. J. A. Sloane at Fri Jan 12 03:00:00 EST 2007
FORMULA

a(n) = PRODUCTProd[i=0 to n] n!!!!. a(n) = PRODUCTProd[i=0 to n] A007662(n). a(n) = n!!!! * a(n-1) where a(0) = 1, a(1) = 1 and n >= 2. a(n) = n*(n-4)!!!! * a(n-1) where a(0) = 1, a(1) = 1, a(2) = 2.

KEYWORD

easy,nonn,new

#1 by N. J. A. Sloane at Fri Feb 24 03:00:00 EST 2006
NAME

Cumulative product of quadruple factorial A007662.

DATA

1, 1, 2, 6, 24, 120, 1440, 30240, 967680, 43545600, 5225472000, 1207084032000, 463520268288000, 271159356948480000, 455547719673446400000, 1578472848668491776000000, 9698137182219213471744000000

OFFSET

0,3

LINKS

Eric W. Weisstein, <a href="http://mathworld.wolfram.com/Multifactorial.html">Multifactorial.</a>

FORMULA

a(n) = PRODUCT[i=0 to n] n!!!!. a(n) = PRODUCT[i=0 to n] A007662(n). a(n) = n!!!! * a(n-1) where a(0) = 1, a(1) = 1 and n >= 2. a(n) = n*(n-4)!!!! * a(n-1) where a(0) = 1, a(1) = 1, a(2) = 2.

EXAMPLE

a(10) = 1!!!! * 2!!!! * 3!!!! * 4!!!! * 5!!!! * 6!!!! * 7!!!! * 8!!!! * 9!!!! * 10!!!! = 1 * 2 * 3 * 4 * 5 * 12 * 21 * 32 * 45 * 120 = 5225472000 = 2^13 * 3^6 * 5^3 * 7.

CROSSREFS
KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post (jvospost2(AT)yahoo.com), Feb 18 2006

STATUS

approved