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A015323
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Gaussian binomial coefficient [ n,6 ] for q = -2.
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3
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1, 43, 3655, 208335, 14208447, 882215391, 57344000415, 3642010817055, 233988483199263, 14946527496991519, 957498220445101855, 61250446192484546335, 3920970870875818419999, 250911985465716094666527
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OFFSET
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6,2
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REFERENCES
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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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FORMULA
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G.f.: x^6 / ( (x-1)*(8*x+1)*(64*x-1)*(2*x+1)*(32*x+1)*(4*x-1)*(16*x-1) ). - R. J. Mathar, Aug 04 2016
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MATHEMATICA
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PROG
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(Sage) [gaussian_binomial(n, 6, -2) for n in range(6, 20)] # Zerinvary Lajos, May 27 2009
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CROSSREFS
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Diagonal k=6 of the triangular array A015109. See there for further references and programs. - M. F. Hasler, Nov 04 2012
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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