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 A022238 Gaussian binomial coefficients [ n,9 ] for q = 7. 1
 1, 47079208, 1939395353553757, 78490432990886231801200, 3168691824510592423395247884703, 127875753071992714335358328311551866824, 5160291746051272234978893428859106387360586971, 208236637980093164825596972398144064919402131047044800 (list; graph; refs; listen; history; text; internal format)
 OFFSET 9,2 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 = 9..140 FORMULA G.f.: x^9/((1-x)*(1-7*x)*(1-49*x)*(1-343*x)*(1-2401*x)*(1-16807*x)*(1-117649*x)*(1-823543*x)*(1-5764801*x)*(1-40353607*x)). - Vincenzo Librandi, Aug 12 2016 a(n) = Product_{i=1..9} (7^(n-i+1)-1)/(7^i-1), by definition. - Vincenzo Librandi, Aug 12 2016 MATHEMATICA Table[QBinomial[n, 9, 7], {n, 9, 20}] (* Vincenzo Librandi, Aug 12 2016 *) PROG (Sage) [gaussian_binomial(n, 9, 7) for n in xrange(9, 17)] # Zerinvary Lajos, May 25 2009 (MAGMA) r:=9; q:=7; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // Vincenzo Librandi, Aug 12 2016 CROSSREFS Sequence in context: A250598 A237897 A230756 * A121491 A300568 A210334 Adjacent sequences:  A022235 A022236 A022237 * A022239 A022240 A022241 KEYWORD nonn,easy AUTHOR EXTENSIONS Offset changed by Vincenzo Librandi, Aug 12 2016 STATUS approved

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Last modified March 22 17:25 EDT 2019. Contains 321422 sequences. (Running on oeis4.)