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A006111 Gaussian binomial coefficient [ n,2 ] for q=5.
(Formerly M5228)
+0
1
1, 31, 806, 20306, 508431, 12714681, 317886556, 7947261556, 198682027181, 4967053120931, 124176340230306, 3104408566792806, 77610214474995931, 1940255363400777181 (list; graph; listen)
OFFSET

2,2

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

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.

FORMULA

G.f.: 1/[(1-x)(1-5x)(1-25x)].

MAPLE

A006111:=-1/(z-1)/(25*z-1)/(5*z-1); [Conjectured by S. Plouffe in his 1992 dissertation.]

CROSSREFS

Sequence in context: A096049 A051587 A069380 this_sequence A084330 A009975 A042862

Adjacent sequences: A006108 A006109 A006110 this_sequence A006112 A006113 A006114

KEYWORD

nonn

AUTHOR

njas

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Last modified December 4 15:51 EST 2008. Contains 151308 sequences.


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