A010986 Binomial coefficient C(n,33).

1, 34, 595, 7140, 66045, 501942, 3262623, 18643560, 95548245, 445891810, 1917334783, 7669339132, 28760021745, 101766230790, 341643774795, 1093260079344, 3348108992991, 9847379391150, 27900908274925, 76360380541900, 202355008436035, 520341450264090

Offset

33,2

Links

T. D. Noe, Table of n, a(n) for n = 33..1000

Index entries for linear recurrences with constant coefficients, signature (34, -561, 5984, -46376, 278256, -1344904, 5379616, -18156204, 52451256, -131128140, 286097760, -548354040, 927983760, -1391975640, 1855967520, -2203961430, 2333606220, -2203961430, 1855967520, -1391975640, 927983760, -548354040, 286097760, -131128140, 52451256, -18156204, 5379616, -1344904, 278256, -46376, 5984, -561, 34, -1).

Formula

G.f.: x^33/(1-x)^34. - Zerinvary Lajos, Dec 19 2008; adapted to offset by Enxhell Luzhnica, Jan 23 2017

From Amiram Eldar, Dec 12 2020: (Start)

Sum_{n>=33} 1/a(n) = 33/32.

Sum_{n>=33} (-1)^(n+1)/a(n) = A001787(33)*log(2) - A242091(33)/32! = 141733920768*log(2) - 429895798848743086730197/4375865239200 = 0.9721422619... (End)

Maple

seq(binomial(n, 33), n=33..55); # Zerinvary Lajos, Dec 19 2008

Mathematica

Table[Binomial[n, 33], {n, 33, 60}] (* Vladimir Joseph Stephan Orlovsky, Apr 26 2011 *)

Prog

(Magma) [Binomial(n, 33): n in [33..70]]; // Vincenzo Librandi, Jun 12 2013
(PARI) for(n=33, 60, print1(binomial(n, 33), ", ")) \\ G. C. Greubel, Nov 23 2017

Crossrefs

Cf. A010984, A010985, A001787, A242091.

Sequence in context: A161647 A161991 A162381 * A232079 A264067 A004418

Adjacent sequences: A010983 A010984 A010985 * A010987 A010988 A010989

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved