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 A006976 Coefficients of Chebyshev T polynomials: a(n) = A053120(n+12, n), n >= 0. (Formerly M4907) 12
 1, 13, 98, 560, 2688, 11424, 44352, 160512, 549120, 1793792, 5637632, 17145856, 50692096, 146227200, 412778496, 1143078912, 3111714816, 8341487616, 22052208640, 57567870976, 148562247680, 379364311040, 959384125440 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Binomial transform of A069039. - Paul Barry, Feb 19 2003 If X_1, X_2, ..., X_n are 2-blocks of a (2n+1)-set X then, for n >= 5, a(n-5) is the number of (n+6)-subsets of X intersecting each X_i, (i = 1, 2, ..., n). - Milan Janjic, Nov 18 2007 REFERENCES M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 795. N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS G. C. Greubel, Table of n, a(n) for n = 0..1000 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]. Milan Janjic, Two Enumerative Functions Index entries for linear recurrences with constant coefficients, signature (14,-84,280,-560,672,-448,128). FORMULA G.f.: (1-x)/(1-2*x)^7. a(n) = 2^n*binomial(n+5,5) * (n+12)/12. a(n) = 2^n*(n+1)*(n+2)*(n+3)*(n+4)*(n+5)*(n+12)/1440. a(n) = Sum_{k = 0..floor((n+12)/2)} C(n+12,2*k)*C(k,6). - Paul Barry, May 15 2003 MAPLE seq(2^(n-1)*binomial(n+5, 5)*(n+12)/6, n=0..25); # G. C. Greubel, Aug 27 2019 MATHEMATICA Table[2^(n-1)*Binomial[n+5, 5]*(n+12)/6, {n, 0, 25}] (* G. C. Greubel, Aug 27 2019 *) PROG (MAGMA) [2^(n-1)/6*Binomial(n+5, 5)*(n+12) : n in [0..25]]; // Brad Clardy, Mar 10 2012 (PARI) vector(26, n, 2^(n-2)*binomial(n+4, 5)*(n+11)/6) \\ G. C. Greubel, Aug 27 2019 (Sage) [2^(n-1)*binomial(n+5, 5)*(n+12)/6 for n in (0..25)] # G. C. Greubel, Aug 27 2019 (GAP) List([0..25], n-> 2^(n-1)*Binomial(n+5, 5)*(n+12)/6); # G. C. Greubel, Aug 27 2019 CROSSREFS a(n) = A039991(n+12, 12), A053120. Partial sums are in A002409. Sequence in context: A228680 A158795 A075899 * A282992 A295271 A034270 Adjacent sequences:  A006973 A006974 A006975 * A006977 A006978 A006979 KEYWORD nonn,easy AUTHOR EXTENSIONS More terms from James A. Sellers, Aug 21 2000 Name clarified by Wolfdieter Lang, Nov 26 2019 STATUS approved

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Last modified December 13 06:26 EST 2019. Contains 329968 sequences. (Running on oeis4.)