A006112 - OEIS

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A006112

Gaussian binomial coefficient [ n,3 ] for q=5.
(Formerly M5404)

1, 156, 20306, 2558556, 320327931, 40053706056, 5007031143556, 625886840206056, 78236053707784181, 9779511680526143556, 1222439084242108174806 (list; graph; refs; listen; history; internal format)

	OFFSET	`3,2`
	REFERENCES	`J. Goldman and G.-C. Rota, The number of subspaces of a vector space, pp. 75-83 of W. T. Tutte, editor, Recent Progress in Combinatorics. Academic Press, NY, 1969.` `I. P. Goulden and D. M. Jackson, Combinatorial Enumeration. Wiley, NY, 1983, p, 99.` `N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).` `M. Sved, Gaussians and binomials, Ars. Combinatoria, 17A (1984), 325-351.`
	LINKS	S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992. S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
	MAPLE	`A006112:=1/(z-1)/(125z-1)/(25z-1)/(5*z-1); [Conjectured by S. Plouffe in his 1992 dissertation.]`
	PROG	`(Other) sage: [gaussian_binomial(n, 3, 5) for n in xrange(3, 14)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 27 2009]`
	CROSSREFS	`Sequence in context: A023903 A035838 A035824 * A028675 A090851 A045230` `Adjacent sequences: A006109 A006110 A006111 * A006113 A006114 A006115`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`

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Last modified February 16 09:00 EST 2012. Contains 205904 sequences.