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 A053128 Binomial coefficients C(2*n-5,6). 6
 7, 84, 462, 1716, 5005, 12376, 27132, 54264, 100947, 177100, 296010, 475020, 736281, 1107568, 1623160, 2324784, 3262623, 4496388, 6096454, 8145060, 10737573, 13983816, 18009460, 22957480, 28989675, 36288252, 45057474, 55525372, 67945521, 82598880, 99795696 (list; graph; refs; listen; history; text; internal format)
 OFFSET 6,1 COMMENTS a(n) = A053123(n,6), n >= 6; a(n) = 0, n=0..5, (seventh 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 = 6..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 (7,-21,35,-35,21,-7,1). FORMULA a(n) = binomial(2*n-5, 6) if n >= 6 else 0. G.f.: (7+35*x+21*x^2+x^3)/(1-x)^7. E.g.f.: (18900 - 16380*x + 6975*x^2 - 1935*x^3 + 390*x^4 - 60*x^5 + 8*x^6)*exp(x)/90. - G. C. Greubel, Aug 26 2018 MATHEMATICA Table[Binomial[2*n-5, 6], {n, 6, 50}] (* G. C. Greubel, Aug 26 2018 *) PROG (MAGMA) [Binomial(2*n-5, 6): n in [6..40]]; // Vincenzo Librandi, Oct 07 2011 (PARI) for(n=6, 50, print1(binomial(2*n-5, 6), ", ")) \\ G. C. Greubel, Aug 26 2018 CROSSREFS Cf. A053123, A053127. Sequence in context: A231259 A187649 A316377 * A027819 A269895 A272496 Adjacent sequences:  A053125 A053126 A053127 * A053129 A053130 A053131 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified January 21 17:07 EST 2019. Contains 319350 sequences. (Running on oeis4.)