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A006113
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Gaussian binomial coefficient [ n,4 ] for q=5.
(Formerly M5479)
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1
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1, 781, 508431, 320327931, 200525284806, 125368356709806, 78360229974772306, 48975769621072897306, 30609934249224268600431, 19131218685276848401412931, 11957012900737114492991256681, 7473133215765585192791624069181, 4670708278954101902438990598678556
(list; graph; refs; listen; history; internal format)
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OFFSET
| 4,2
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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.
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MAPLE
| qBinom := proc(n, m, q)
mul( (1-q^(n-i))/(1-q^(i+1)), i=0..m-1) ;
end proc:
A006113 := proc(n)
qBinom(n, 4, 5) ;
end proc:
seq(A006113(n), n=4..16) ; # R. J. Mathar, Sep 28 2011
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PROG
| (Other) sage: [gaussian_binomial(n, 4, 5) for n in xrange(4, 14)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 27 2009]
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CROSSREFS
| Sequence in context: A020231 A038477 A141390 * A158398 A003914 A045074
Adjacent sequences: A006110 A006111 A006112 * A006114 A006115 A006116
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KEYWORD
| easy,nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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