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 A010987 Binomial coefficient C(n,34). 6
 1, 35, 630, 7770, 73815, 575757, 3838380, 22481940, 118030185, 563921995, 2481256778, 10150595910, 38910617655, 140676848445, 482320623240, 1575580702584, 4923689695575, 14771069086725, 42671977361650, 119032357903550, 321387366339585, 841728816603675 (list; graph; refs; listen; history; text; internal format)
 OFFSET 34,2 LINKS T. D. Noe, Table of n, a(n) for n = 34..1000 Index entries for linear recurrences with constant coefficients, signature (35, -595, 6545, -52360, 324632, -1623160, 6724520, -23535820, 70607460, -183579396, 417225900, -834451800, 1476337800, -2319959400, 3247943160, -4059928950, 4537567650, -4537567650, 4059928950, -3247943160, 2319959400, -1476337800, 834451800, -417225900, 183579396, -70607460, 23535820, -6724520, 1623160, -324632, 52360, -6545, 595, -35, 1). FORMULA G.f.: x^34/(1-x)^35 . - Zerinvary Lajos, Dec 19 2008; adapted to offset by Enxhell Luzhnica, Jan 23 2017 From Amiram Eldar, Dec 12 2020: (Start) Sum_{n>=34} 1/a(n) = 34/33. Sum_{n>=34} (-1)^n/a(n) = A001787(34)*log(2) - A242091(34)/33! = 292057776128*log(2) - 429895798850931019349797/2123581660200 = 0.9728992064... (End) MAPLE seq(binomial(n, 34), n=34..55); # Zerinvary Lajos, Dec 19 2008 MATHEMATICA Table[Binomial[n, 34], {n, 34, 60}] (* Vladimir Joseph Stephan Orlovsky, Apr 26 2011 *) PROG (Magma) [Binomial(n, 34): n in [34..70]]; // Vincenzo Librandi, Jun 12 2013 (PARI) x='x+O('x^50); Vec(x^34/(1-x)^35) \\ G. C. Greubel, Nov 23 2017 CROSSREFS Cf. A010984, A010985, A010986, A001787, A242091. Sequence in context: A162149 A162384 A126925 * A178353 A202127 A175774 Adjacent sequences: A010984 A010985 A010986 * A010988 A010989 A010990 KEYWORD nonn AUTHOR N. J. A. Sloane STATUS approved

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Last modified July 23 19:18 EDT 2024. Contains 374553 sequences. (Running on oeis4.)