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A022189 Gaussian binomial coefficients [ n,6 ] for q = 2. 3
1, 127, 10795, 788035, 53743987, 3548836819, 230674393235, 14877590196755, 955841412523283, 61291693863308051, 3926442969043883795, 251413193158549532435, 16094312257426532376339, 1030159771762835353435923 (list; graph; refs; listen; history; text; internal format)
OFFSET

6,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 6..200

FORMULA

a(n) = Product_{i=1..6} (2^(n-i+1)-1)/(2^i-1), by definition. - Vincenzo Librandi, Aug 03 2016

MATHEMATICA

Table[QBinomial[n, 6, 2], {n, 6, 24}] (* Vincenzo Librandi, Aug 03 2016 *)

PROG

(Sage) [gaussian_binomial(n, 6, 2) for n in xrange(6, 20)] # Zerinvary Lajos, May 24 2009

(MAGMA) r:=6; q:=2; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // Vincenzo Librandi, Aug 03 2016

(PARI) r=6; q=2; for(n=r, 30, print1(prod(j=1, r, (1-q^(n-j+1))/(1-q^j)), ", ")) \\ G. C. Greubel, May 30 2018

CROSSREFS

Sequence in context: A140477 A110828 A286790 * A121618 A069382 A319366

Adjacent sequences:  A022186 A022187 A022188 * A022190 A022191 A022192

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

Offset changed by Vincenzo Librandi, Aug 03 2016

STATUS

approved

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Last modified March 24 00:12 EDT 2019. Contains 321444 sequences. (Running on oeis4.)