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 A053131 Binomial coefficients C(2*n-8,9). 6
 10, 220, 2002, 11440, 48620, 167960, 497420, 1307504, 3124550, 6906900, 14307150, 28048800, 52451256, 94143280, 163011640, 273438880, 445891810, 708930508, 1101716330, 1677106640, 2505433700, 3679075400, 5317936260 (list; graph; refs; listen; history; text; internal format)
 OFFSET 9,1 COMMENTS a(n) = -A053123(n,9), n >= 9; a(n) := 0, n=0..8 (tenth column of shifted Chebyshev's S-triangle, decreasing order) REFERENCES M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings). LINKS Vincenzo Librandi, Table of n, a(n) for n = 9..200 Milan Janjic, Two Enumerative Functions M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy]. Index entries for linear recurrences with constant coefficients, signature (10,-45,120,-210,252,-210,120,-45, 10,-1). FORMULA a(n) = binomial(2*n-8, 9) if n >= 9 else 0. G.f.: (10+120*x+252*x^2+120*x^3+10*x^4)/(1-x)^10. a(n) = 2*A053133(n). MATHEMATICA Binomial[2*Range[9, 40]-8, 9] (* Harvey P. Dale, Mar 19 2012 *) PROG (MAGMA)[Binomial(2*n-8, 9): n in [9..40]]; // Vincenzo Librandi, Oct 07 2011 (PARI) for(n=9, 50, print1(binomial(2*n-8, 9), ", ")) \\ G. C. Greubel, Aug 26 2018 CROSSREFS Cf. A053123, A053130, A053133. Sequence in context: A024291 A024292 A094420 * A334908 A166181 A199748 Adjacent sequences:  A053128 A053129 A053130 * A053132 A053133 A053134 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified April 23 06:38 EDT 2021. Contains 343201 sequences. (Running on oeis4.)