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A022244 Gaussian binomial coefficients [ n,4 ] for q = 8. 1
1, 4681, 19477641, 79936505481, 327499862955657, 1341480367403783817, 5494724540479236953737, 22506402447071849965115017, 92186229916592298695053497993, 377594800550975709003441429239433, 1546628304496854696033468524851058313 (list; graph; refs; listen; history; text; internal format)
OFFSET

4,2

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 = 4..200

FORMULA

a(n) = Product_{i=1..4} (8^(n-i+1)-1)/(8^i-1), by definition. - Vincenzo Librandi, Aug 05 2016

MATHEMATICA

Table[QBinomial[n, 4, 8], {n, 4, 20}] (* Vincenzo Librandi, Aug 05 2016 *)

PROG

(Sage) [gaussian_binomial(n, 4, 8) for n in xrange(4, 15)] # Zerinvary Lajos, May 27 2009

(MAGMA) r:=4; 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: A066731 A230487 A230483 * A252382 A190131 A226801

Adjacent sequences:  A022241 A022242 A022243 * A022245 A022246 A022247

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 21 20:30 EDT 2019. Contains 321382 sequences. (Running on oeis4.)