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A022252
Gaussian binomial coefficients [ n,12 ] for q = 8.
1
1, 78536544841, 5482656778286418474121, 377502614721293061473789582165641, 25948117139655026088415620969665388037494409, 1783195450928011476668648470344552094424349050302879369, 122540725761559997805240746641257692029742922745214204200122046089
OFFSET
12,2
REFERENCES
F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier-North Holland, 1978, p. 698.
LINKS
FORMULA
a(n) = Product_{i=1..12} (8^(n-i+1)-1)/(8^i-1), by definition. - Vincenzo Librandi, Aug 04 2016
MATHEMATICA
Table[QBinomial[n, 12, 8], {n, 12, 20}] (* Vincenzo Librandi, Aug 04 2016 *)
PROG
(Sage) [gaussian_binomial(n, 12, 8) for n in range(12, 19)] # Zerinvary Lajos, May 28 2009
(Magma) r:=12; q:=8; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // Vincenzo Librandi, Aug 04 2016
CROSSREFS
Sequence in context: A213334 A211417 A287246 * A034653 A289116 A249621
KEYWORD
nonn
AUTHOR
EXTENSIONS
Offset changed by Vincenzo Librandi, Aug 04 2016
STATUS
approved