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A022263 Gaussian binomial coefficients [ n,12 ] for q = 9. 2
1, 317733228541, 90858964067210376612667, 25696504083440779881815469635549047, 7258558056330718241144285557911444544132154908, 2050065905416034207242060732309202881550943087590159038828, 579000252913277034724666671128579290474420179812795955722564434314244 (list; graph; refs; listen; history; text; internal format)
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

(Sage) [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: A172691 A172785 A172847 * A216907 A186911 A172714

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

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Last modified January 20 05:31 EST 2020. Contains 331067 sequences. (Running on oeis4.)