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Search: id:A006102
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| A006102 |
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Gaussian binomial coefficient [ n,4 ] for q=3.
(Formerly M5384)
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+0
1
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| 1, 121, 11011, 925771, 75913222, 6174066262, 500777836042, 40581331447162, 3287582741506063, 266307564861468823, 21571273555248777493, 1747282899667791058573, 141530177899268957392924, 11463951511551877750726204, 928580264181940191843785764, 75215006575885931519565302404
(list; graph; listen)
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OFFSET
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4,2
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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.
M. Sved, Gaussians and binomials, Ars. Combinatoria, 17A (1984), 325-351.
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LINKS
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T. D. Noe, Table of n, a(n) for n=4..100
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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A006102:=-1/((z-1)*(81*z-1)*(3*z-1)*(9*z-1)*(27*z-1)); [Conjectured (correctly) by S. Plouffe in his 1992 dissertation.]
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PROGRAM
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(Other) sage: [gaussian_binomial(n, 4, 3) for n in xrange(4, 20)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 25 2009]
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CROSSREFS
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Sequence in context: A011814 A144766 A058412 this_sequence A036508 A054319 A006061
Adjacent sequences: A006099 A006100 A006101 this_sequence A006103 A006104 A006105
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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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