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A022249 Gaussian binomial coefficients [ n,9 ] for q = 8. 1
1, 153391689, 20914675798619273, 2812613653548502301460105, 377594800550975709003441429239433, 50681462910057431534320730090844329858697 (list; graph; refs; listen; history; text; internal format)
OFFSET

9,2

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 = 9..130

FORMULA

a(n) = Product_{i=1..9} (8^(n-i+1)-1)/(8^i-1), by definition. - Vincenzo Librandi, Aug 06 2016

G.f.: x^9/((1 - x)*(1 - 8*x)*(1 - 64*x)*(1 - 512*x)*(1 - 4096*x)*(1 - 32768*x)*(1 - 262144*x)*(1 - 2097152*x)*(1 - 16777216*x)*(1 - 134217728*x)). - Ilya Gutkovskiy, Aug 06 2016

MATHEMATICA

QBinomial[Range[9, 20], 9, 8] (* Harvey P. Dale, Dec 12 2011 *)

PROG

(Sage) [gaussian_binomial(n, 9, 8) for n in xrange(9, 15)] # Zerinvary Lajos, May 25 2009

(MAGMA) r:=9; q:=8; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // Vincenzo Librandi, Aug 06 2016

CROSSREFS

Sequence in context: A151696 A221555 A212941 * A204605 A289248 A251489

Adjacent sequences:  A022246 A022247 A022248 * A022250 A022251 A022252

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Offset changed by Vincenzo Librandi, Aug 06 2016

STATUS

approved

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Last modified March 26 16:33 EDT 2019. Contains 321510 sequences. (Running on oeis4.)