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A015367 Gaussian binomial coefficient [ n,8 ] for q=-10. 13
1, 90909091, 9182736463728191, 917356290091909926537191, 91744803489448201844894398447191, 9174388605059687035653977786959679347191, 917439777945737474914267633276565557306870347191 (list; graph; refs; listen; history; text; internal format)
OFFSET
8,2
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.
M. Sved, Gaussians and binomials, Ars. Combinatoria, 17A (1984), 325-351.
LINKS
FORMULA
a(n) = Product_{i=1..8} ((-10)^(n-i+1)-1)/((-10)^i-1). - M. F. Hasler, Nov 03 2012
MATHEMATICA
Table[QBinomial[n, 8, -10], {n, 8, 14}] (* Vincenzo Librandi, Nov 03 2012 *)
PROG
(Sage) [gaussian_binomial(n, 8, -10) for n in range(8, 14)] # Zerinvary Lajos, May 25 2009
(Magma) r:=8; q:=-10; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..18]]; // Vincenzo Librandi, Nov 03 2012
(PARI) A015367(n, r=8, q=-10)=prod(i=1, r, (q^(n-i+1)-1)/(q^i-1)) \\ M. F. Hasler, Nov 03 2012
CROSSREFS
Cf. Gaussian binomial coefficients [n,8] for q=-2..-13: A015356, A015357, A015359, A015360, A015361, A015363, A015364, A015365, A015368, A015369, A015370. - M. F. Hasler, Nov 03 2012
Sequence in context: A227654 A069318 A172573 * A323536 A216009 A034643
KEYWORD
nonn,easy
AUTHOR
STATUS
approved

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Last modified March 28 14:02 EDT 2024. Contains 371254 sequences. (Running on oeis4.)