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A022243 Gaussian binomial coefficients [ n,3 ] for q = 8. 1
1, 585, 304265, 156087945, 79936505481, 40928737412745, 20955593338439305, 10729268895402608265, 5493386001237942388361, 2812613653548502301460105, 1440058191955372430686340745, 737309794366817196670904616585 (list; graph; refs; listen; history; text; internal format)
OFFSET

3,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 3..200

FORMULA

a(n) = Product_{i=1..3} (8^(n-i+1)-1)/(8^i-1), by definition. - Vincenzo Librandi, Aug 05 2016

MATHEMATICA

Table[QBinomial[n, 3, 8], {n, 3, 20}] (* Vincenzo Librandi, Aug 05 2016 *)

PROG

(Sage) [gaussian_binomial(n, 3, 8) for n in xrange(3, 15)] # Zerinvary Lajos, May 27 2009

(MAGMA) r:=3; q:=8; [&*[(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: A038486 A024380 A258331 * A217446 A171436 A020362

Adjacent sequences:  A022240 A022241 A022242 * A022244 A022245 A022246

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 26 00:27 EDT 2019. Contains 321479 sequences. (Running on oeis4.)