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A006102 Gaussian binomial coefficient [ n,4 ] for q=3.
(Formerly M5384)
+0
1
1, 121, 11011, 925771, 75913222, 6174066262, 500777836042, 40581331447162, 3287582741506063, 266307564861468823, 21571273555248777493, 1747282899667791058573 (list; graph; listen)
OFFSET

4,2

REFERENCES

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.

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.

LINKS

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.

MAPLE

A006102:=-1/(z-1)/(81*z-1)/(3*z-1)/(9*z-1)/(27*z-1); [Conjectured by S. Plouffe in his 1992 dissertation.]

CROSSREFS

Adjacent sequences: A006099 A006100 A006101 this_sequence A006103 A006104 A006105

Sequence in context: A018849 A011814 A058412 this_sequence A036508 A054319 A006061

KEYWORD

nonn

AUTHOR

njas

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Last modified October 7 08:31 EDT 2008. Contains 144667 sequences.


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