OFFSET
10,2
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 = 10..140
FORMULA
G.f.: x^10/((1-x)*(1-6*x)*(1-36*x)*(1-216*x)*(1-1296*x)*(1-7776*x)*(1-46656*x)*(1-279936*x)*(1-1679616*x)*(1-10077696*x)*(1-60466176*x)). - Vincenzo Librandi, Aug 12 2016
a(n) = Product_{i=1..10} (6^(n-i+1)-1)/(6^i-1), by definition. - Vincenzo Librandi, Aug 12 2016
MATHEMATICA
Table[QBinomial[n, 10, 6], {n, 10, 20}] (* Vincenzo Librandi, Aug 12 2016 *)
PROG
(Sage) [gaussian_binomial(n, 10, 6) for n in range(10, 18)] # Zerinvary Lajos, May 27 2009
(Magma) r:=10; q:=6; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // Vincenzo Librandi, Aug 12 2016
(PARI) r=10; q=6; for(n=r, 30, print1(prod(j=1, r, (1-q^(n-j+1))/(1-q^j)), ", ")) \\ G. C. Greubel, Jun 13 2018
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
EXTENSIONS
Offset changed by Vincenzo Librandi, Aug 12 2016
STATUS
approved