A022250 Gaussian binomial coefficients [ n,10 ] for q = 8.

1, 1227133513, 1338539252338766985, 1440058191955372430686340745, 1546628304496854696033468524851058313, 1660730178183390221013476379650255525660841609, 1783202253071230934395807391969095566387830751237232265

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..120

Formula

a(n) = Product_{i=1..10} (8^(n-i+1)-1)/(8^i-1), by definition. - Vincenzo Librandi, Aug 04 2016

Mathematica

Table[QBinomial[n, 10, 8], {n, 10, 20}] (* Vincenzo Librandi, Aug 04 2016 *)

Prog

(SageMath) [gaussian_binomial(n, 10, 8) for n in range(10, 16)] # Zerinvary Lajos, May 27 2009
(Magma) r:=10; q:=8; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // Vincenzo Librandi, Aug 04 2016

Crossrefs

Sequence in context: A384637 A195988 A262996 * A344365 A211770 A391190

Adjacent sequences: A022247 A022248 A022249 * A022251 A022252 A022253

Keyword

nonn

Author

N. J. A. Sloane

Extensions

Offset changed by Vincenzo Librandi, Aug 04 2016

Status

approved