A010988 Binomial coefficient C(n,35).

1, 36, 666, 8436, 82251, 658008, 4496388, 26978328, 145008513, 708930508, 3190187286, 13340783196, 52251400851, 192928249296, 675248872536, 2250829575120, 7174519270695, 21945588357420, 64617565719070, 183649923622620, 505037289962205, 1346766106565880

Offset

35,2

Links

T. D. Noe, Table of n, a(n) for n = 35..1000

Index entries for linear recurrences with constant coefficients, signature (36, -630, 7140, -58905, 376992, -1947792, 8347680, -30260340, 94143280, -254186856, 600805296, -1251677700, 2310789600, -3796297200, 5567902560, -7307872110, 8597496600, -9075135300, 8597496600, -7307872110, 5567902560, -3796297200, 2310789600, -1251677700, 600805296, -254186856, 94143280, -30260340, 8347680, -1947792, 376992, -58905, 7140, -630, 36, -1).

Formula

G.f.: x^35/(1-x)^36. - Zerinvary Lajos, Dec 19 2008; adapted to offset by Enxhell Luzhnica, Jan 23 2017

From Amiram Eldar, Dec 12 2020: (Start)

Sum_{n>=35} 1/a(n) = 35/34.

Sum_{n>=35} (-1)^(n+1)/a(n) = A001787(35)*log(2) - A242091(35)/34! = 601295421440*log(2) - 429895798851992810179897/1031453949240 = 0.9736160133... (End)

Maple

seq(binomial(n, 35), n=35..55); # Zerinvary Lajos, Dec 19 2008

Mathematica

Table[Binomial[n, 35], {n, 35, 66}] (* Vladimir Joseph Stephan Orlovsky, Apr 26 2011 *)

Prog

(Magma) [Binomial(n, 35): n in [35..70]]; // Vincenzo Librandi, Jun 12 2013

Crossrefs

Cf. A010985, A010986, A010987, A001787, A242091.

Sequence in context: A161649 A162150 A162388 * A000815 A271794 A182678

Adjacent sequences: A010985 A010986 A010987 * A010989 A010990 A010991

Keyword

nonn

Author

N. J. A. Sloane

Status

approved