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A022258 Gaussian binomial coefficients [ n,7 ] for q = 9. 1
1, 5380840, 26058095733124, 124806266065883690200, 597035499217287155085549610, 2855650645340126913932218722028600, 13658514212390616911370927114097728660820 (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..150

FORMULA

a(n) = Product_{i=1..7} (9^(n-i+1)-1)/(9^i-1), by definition. - Vincenzo Librandi, Aug 03 2016

MATHEMATICA

Table[QBinomial[n, 7, 9], {n, 7, 20}] (* Vincenzo Librandi, Aug 04 2016 *)

PROG

(Sage) [gaussian_binomial(n, 7, 9) for n in xrange(7, 14)] # Zerinvary Lajos, May 27 2009

(MAGMA) r:=7; q:=9; [&*[(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: A115960 A186014 A234496 * A092020 A029822 A263214

Adjacent sequences:  A022255 A022256 A022257 * A022259 A022260 A022261

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

Offset changed by Vincenzo Librandi, Aug 04 2016

STATUS

approved

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Last modified April 22 22:16 EDT 2019. Contains 322378 sequences. (Running on oeis4.)