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A006106 Gaussian binomial coefficient [ n,3 ] for q=4.
(Formerly M5360)
1
1, 85, 5797, 376805, 24208613, 1550842085, 99277752549, 6354157930725, 406672215935205, 26027119554103525, 1665737215212030181, 106607206793565997285 (list; graph; refs; listen; history; text; 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

Table of n, a(n) for n=3..14.

Simon Plouffe, Approximations de séries génératrices et quelques conjectures, Dissertation, Université du Québec à Montréal, 1992.

Simon Plouffe, 1031 Generating Functions and Conjectures, Université du Québec à Montréal, 1992.

MAPLE

A006106:=1/(z-1)/(4*z-1)/(64*z-1)/(16*z-1); [Conjectured by Simon Plouffe in his 1992 dissertation.]

PROG

(Sage) [gaussian_binomial(n, 3, 4) for n in xrange(3, 15)] # [From Zerinvary Lajos, May 27 2009]

CROSSREFS

Sequence in context: A201796 A093285 A011813 * A015338 A181015 A131750

Adjacent sequences:  A006103 A006104 A006105 * A006107 A006108 A006109

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified September 10 21:05 EDT 2015. Contains 261502 sequences.