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A022242 Gaussian binomial coefficients [ n,2 ] for q = 8. 2
1, 73, 4745, 304265, 19477641, 1246606473, 79783113865, 5106121684105, 326791806956681, 20914675798619273, 1338539252338766985, 85666512159498155145, 5482656778286418474121, 350890033810959074702473 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 2..200

FORMULA

G.f.: x^2/[(1-x)(1-8x)(1-64x)].

a(n) = Product_{i=1..2} (8^(n-i+1)-1)/(8^i-1), by definition. - Vincenzo Librandi, Aug 05 2016

MATHEMATICA

CoefficientList[Series[1/((1-x)(1-8x)(1-64x)), {x, 0, 25}], x]  (* Harvey P. Dale, Mar 13 2011 *)

Table[QBinomial[n, 2, 8], {n, 2, 20}] (* Vincenzo Librandi, Aug 05 2016 *)

PROG

(Sage) [gaussian_binomial(n, 2, 8) for n in xrange(2, 16)] # Zerinvary Lajos, May 28 2009

(MAGMA) r:=2; 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: A221826 A093273 A183540 * A015260 A089788 A292013

Adjacent sequences:  A022239 A022240 A022241 * A022243 A022244 A022245

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 19 17:05 EDT 2019. Contains 321330 sequences. (Running on oeis4.)