A022263 Gaussian binomial coefficients [ n,12 ] for q = 9.

1, 317733228541, 90858964067210376612667, 25696504083440779881815469635549047, 7258558056330718241144285557911444544132154908, 2050065905416034207242060732309202881550943087590159038828, 579000252913277034724666671128579290474420179812795955722564434314244

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

Vincenzo Librandi, Table of n, a(n) for n = 12..100

Formula

a(n) = Product_{i=1..12} (9^(n-i+1)-1)/(9^i-1), by definition. - Vincenzo Librandi, Aug 04 2016

Mathematica

Table[QBinomial[n, 12, 9], {n, 12, 30}] (* Vincenzo Librandi, Aug 04 2016 *)

Prog

(SageMath) [gaussian_binomial(n, 12, 9) for n in range(12, 19)] # Zerinvary Lajos, May 28 2009
(Magma) r:=12; q:=9; [&*[(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: A172785 A172847 A354071 * A216907 A186911 A340155

Adjacent sequences: A022260 A022261 A022262 * A022264 A022265 A022266

Keyword

nonn

Author

N. J. A. Sloane

Extensions

Offset changed by Vincenzo Librandi, Aug 04 2016

Status

approved