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

Author

N. J. A. Sloane

Keywords

• nonn

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).

Crossrefs

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

Programs

Magma

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

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 *)

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)