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A022243
Gaussian binomial coefficients [ n,3 ] for q = 8.
1
1, 585, 304265, 156087945, 79936505481, 40928737412745, 20955593338439305, 10729268895402608265, 5493386001237942388361, 2812613653548502301460105, 1440058191955372430686340745, 737309794366817196670904616585
OFFSET
3,2
LINKS
FORMULA
a(n) = Product_{i=1..3} (8^(n-i+1)-1)/(8^i-1), by definition. - Vincenzo Librandi, Aug 05 2016
MATHEMATICA
Table[QBinomial[n, 3, 8], {n, 3, 20}] (* Vincenzo Librandi, Aug 05 2016 *)
PROG
(Sage) [gaussian_binomial(n, 3, 8) for n in range(3, 15)] # Zerinvary Lajos, May 27 2009
(Magma) r:=3; q:=8; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // Vincenzo Librandi, Aug 05 2016
CROSSREFS
Sequence in context: A024380 A258331 A352979 * A217446 A369861 A171436
KEYWORD
nonn
AUTHOR
EXTENSIONS
Offset changed by Vincenzo Librandi, Aug 05 2016
STATUS
approved