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Search: id:A006106
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| A006106 |
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Gaussian binomial coefficient [ n,3 ] for q=4.
(Formerly M5360)
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+0
1
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| 1, 85, 5797, 376805, 24208613, 1550842085, 99277752549, 6354157930725, 406672215935205, 26027119554103525, 1665737215212030181, 106607206793565997285
(list; graph; listen)
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OFFSET
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3,2
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REFERENCES
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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.
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LINKS
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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.
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MAPLE
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A006106:=1/(z-1)/(4*z-1)/(64*z-1)/(16*z-1); [Conjectured by S. Plouffe in his 1992 dissertation.]
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PROGRAM
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(Other) sage: [gaussian_binomial(n, 3, 4) for n in xrange(3, 15)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 27 2009]
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CROSSREFS
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Sequence in context: A158796 A093285 A011813 this_sequence A015338 A131750 A068749
Adjacent sequences: A006103 A006104 A006105 this_sequence A006107 A006108 A006109
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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