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A022242
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Gaussian binomial coefficients [ n,2 ] for q = 8.
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2
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1, 73, 4745, 304265, 19477641, 1246606473, 79783113865, 5106121684105, 326791806956681, 20914675798619273, 1338539252338766985, 85666512159498155145, 5482656778286418474121, 350890033810959074702473
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OFFSET
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2,2
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LINKS
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FORMULA
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G.f.: x^2/[(1-x)(1-8x)(1-64x)].
a(n) = Product_{i=1..2} (8^(n-i+1)-1)/(8^i-1), by definition. - Vincenzo Librandi, Aug 05 2016
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MATHEMATICA
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CoefficientList[Series[1/((1-x)(1-8x)(1-64x)), {x, 0, 25}], x] (* Harvey P. Dale, Mar 13 2011 *)
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PROG
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(Sage) [gaussian_binomial(n, 2, 8) for n in range(2, 16)] # Zerinvary Lajos, May 28 2009
(Magma) r:=2; q:=8; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // Vincenzo Librandi, Aug 05 2016
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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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