A010982 Binomial coefficient C(n,29).

1, 30, 465, 4960, 40920, 278256, 1623160, 8347680, 38608020, 163011640, 635745396, 2311801440, 7898654920, 25518731280, 78378960360, 229911617056, 646626422970, 1749695026860, 4568648125690, 11541847896480, 28277527346376, 67327446062800, 156077261327400

Offset

29,2

Links

T. D. Noe, Table of n, a(n) for n = 29..1000

Index entries for linear recurrences with constant coefficients, signature (30, -435, 4060, -27405, 142506, -593775, 2035800, -5852925, 14307150, -30045015, 54627300, -86493225, 119759850, -145422675, 155117520, -145422675, 119759850, -86493225, 54627300, -30045015, 14307150, -5852925, 2035800, -593775, 142506, -27405, 4060, -435, 30, -1).

Formula

G.f.: x^29/(1-x)^30. - Zerinvary Lajos, Dec 19 2008; adapted to offset by Enxhell Luzhnica, Jan 21 2017

From Amiram Eldar, Dec 12 2020: (Start)

Sum_{n>=29} 1/a(n) = 29/28.

Sum_{n>=29} (-1)^(n+1)/a(n) = A001787(29)*log(2) - A242091(29)/28! = 7784628224*log(2) - 108340675094713923269/20078358300 = 0.9686369528... (End)

Maple

seq(binomial(n, 29), n=29..53); # Zerinvary Lajos, Dec 19 2008

Mathematica

Table[Binomial[n, 29], {n, 29, 60}] (* Vladimir Joseph Stephan Orlovsky, Apr 26 2011 *)

Prog

(Magma) [Binomial(n, 29): n in [29..60]]; // Vincenzo Librandi, Jun 12 2013
(PARI) x='x+O('x^50); Vec(x^29/(1-x)^30) \\ G. C. Greubel, Nov 23 2017

Crossrefs

Cf. A010980, A010981, A001787, A242091.

Sequence in context: A161976 A162377 A162736 * A022594 A321955 A321045

Adjacent sequences: A010979 A010980 A010981 * A010983 A010984 A010985

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved