A017715 Binomial coefficients C(n,51).

1, 52, 1378, 24804, 341055, 3819816, 36288252, 300674088, 2217471399, 14783142660, 90177170226, 508271323092, 2668424446233, 13136858812224, 60992558771040, 268367258592576, 1123787895356412, 4495151581425648

Offset

51,2

Links

G. C. Greubel, Table of n, a(n) for n = 51..10000

Formula

From G. C. Greubel, Nov 03 2018: (Start)

G.f.: x^51/(1-x)^52.

E.g.f.: x^51*exp(x)/51!. (End)

From Amiram Eldar, Dec 16 2020: (Start)

Sum_{n>=51} 1/a(n) = 51/50.

Sum_{n>=51} (-1)^(n+1)/a(n) = A001787(51)*log(2) - A242091(51)/50! = 57420895248973824*log(2) - 60463469751752265663579884559739219 / 1519139462865684660 = 0.9814572990... (End)

Mathematica

Table[Binomial[n, 51], {n, 51, 77}] (* Vladimir Joseph Stephan Orlovsky, May 16 2011 *)

Prog

(Sage) [binomial(n, 51) for n in range(51, 69)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=51, 80, print1(binomial(n, 51), ", ")) \\ G. C. Greubel, Nov 03 2018
(Magma) [Binomial(n, 51): n in [51..80]]; // G. C. Greubel, Nov 03 2018

Crossrefs

Cf. A001787, A242091.

Sequence in context: A017768 A035721 A035798 * A112008 A275102 A004342

Adjacent sequences: A017712 A017713 A017714 * A017716 A017717 A017718

Keyword

nonn

Author

N. J. A. Sloane

Status

approved