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A022241 Gaussian binomial coefficients [ n,12 ] for q = 7. 1
1, 16148168401, 228167924870691555751, 3167372099179629291002826414551, 43858773775052010561068085080055954232604, 607098005839518055568051981319221867272218743306204, 8403089283059531541841722254852038933206966651131615823995604 (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..112

FORMULA

a(n) = Product_{i=1..12} (7^(n-i+1)-1)/(7^i-1), by definition. - Vincenzo Librandi, Aug 05 2016

MATHEMATICA

Table[QBinomial[n, 12, 7], {n, 12, 20}] (* Vincenzo Librandi, Aug 05 2016 *)

PROG

(Sage) [gaussian_binomial(n, 12, 7) for n in xrange(12, 19)] # Zerinvary Lajos, May 28 2009

(MAGMA) r:=12; q:=7; [&*[(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: A023050 A233704 A153432 * A186016 A186176 A233805

Adjacent sequences:  A022238 A022239 A022240 * A022242 A022243 A022244

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Offset changed by Vincenzo Librandi, Aug 05 2016

STATUS

approved

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Last modified March 20 15:43 EDT 2019. Contains 321345 sequences. (Running on oeis4.)