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A022192
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Gaussian binomial coefficients [ n,9 ] for q = 2.
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2
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1, 1023, 698027, 408345795, 222984027123, 117843461817939, 61291693863308051, 31627961868755063955, 16256896431763117598611, 8339787869494479328087443, 4274137206973266943778085267, 2189425218271613769209626653075
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OFFSET
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9,2
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LINKS
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FORMULA
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a(n) = Product_{i=1..9} (2^(n-i+1)-1)/(2^i-1), by definition. - Vincenzo Librandi, Aug 02 2016
G.f.: x^9/Product_{0<=i<=9} (1-2^i*x). - Robert Israel, Apr 23 2017
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MAPLE
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seq(eval(expand(QDifferenceEquations:-QBinomial(n, 9, q)), q=2), n=9..50);
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MATHEMATICA
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PROG
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(Sage) [gaussian_binomial(n, 9, 2) for n in range(9, 21)] # Zerinvary Lajos, May 25 2009
(Magma) r:=9; q:=2; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // Vincenzo Librandi, Aug 03 2016
(PARI) r=9; q=2; for(n=r, 30, print1(prod(j=1, r, (1-q^(n-j+1))/(1-q^j)), ", ")) \\ G. C. Greubel, May 30 2018
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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