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A022247 Gaussian binomial coefficients [ n,7 ] for q = 8. 1
1, 2396745, 5106121684105, 10729268895402608265, 22506402447071849965115017, 47200787357710533846587480462985, 98987603216356624971042374274625033865, 207592149047991945127896428337152713645086345, 435352316509302207932941670577738326850779860686473 (list; graph; refs; listen; history; text; internal format)
OFFSET

7,2

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 = 7..160

FORMULA

a(n) = Product_{i=1..7} (8^(n-i+1)-1)/(8^i-1), by definition. - Vincenzo Librandi, Aug 06 2016

G.f.: x^7/((1 - x)*(1 - 8*x)*(1 - 64*x)*(1 - 512*x)*(1 - 4096*x)*(1 - 32768*x)*(1 - 262144*x)*(1 - 2097152*x)). - Ilya Gutkovskiy, Aug 06 2016

MATHEMATICA

Table[QBinomial[n, 7, 8], {n, 7, 20}] (* Vincenzo Librandi, Aug 06 2016 *)

PROG

(Sage) [gaussian_binomial(n, 7, 8) for n in xrange(7, 16)] # Zerinvary Lajos, May 27 2009

(MAGMA) r:=7; q:=8; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // Vincenzo Librandi, Aug 06 2016

CROSSREFS

Sequence in context: A232413 A167890 A184496 * A198781 A104941 A251805

Adjacent sequences:  A022244 A022245 A022246 * A022248 A022249 A022250

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Offset changed by Vincenzo Librandi, Aug 06 2016

STATUS

approved

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Last modified March 25 22:28 EDT 2019. Contains 321477 sequences. (Running on oeis4.)