id:A034787 - OEIS Search Results

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One fifth of sextic factorial numbers.

+0
10

1, 11, 187, 4301, 124729, 4365515, 178986115, 8412347405, 445854412465, 26305410335435, 1709851671803275, 121399468698032525, 9347759089748504425, 775864004449125867275, 69051896395972202187475 (list; graph; listen)

	OFFSET	`1,2`
	FORMULA	`5a(n) = (6n-1)(!^6) := product(6j-1, j=1..n)= (6n)!/(3^(2n)2^(2n+1)(2n)!A008542(n)A007559(n)A034000(n)); E.g.f. (-1+(1-6x)^(-5/6))/5.` `a(n) ~ 6/52^(1/2)pi^(1/2)Gamma(5/6)^-1n^(4/3)6^ne^-nn^n{1 + 61/72n^-1 + ...}. - Joe Keane (jgk(AT)jgk.org), Nov 24 2001`
	CROSSREFS	`Cf. A008542, A034689, A034723, A034724, A034788.` `Sequence in context: A112943 A057618 A068648 this_sequence A001408 A036936 A002195` `Adjacent sequences: A034784 A034785 A034786 this_sequence A034788 A034789 A034790`
	KEYWORD	`easy,nonn`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)`

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Last modified August 29 17:40 EDT 2008. Contains 143238 sequences.

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