A017719 Binomial coefficients C(n,55).

1, 56, 1596, 30856, 455126, 5461512, 55525372, 491796152, 3872894697, 27540584512, 179013799328, 1074082795968, 5996962277488, 31368725759168, 154603005527328, 721480692460864, 3201570572795084, 13559593014190944

Offset

55,2

Links

G. C. Greubel, Table of n, a(n) for n = 55..10000

Formula

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

G.f.: x^55/(1-x)^56.

E.g.f.: x^55*exp(x)/55!. (End)

From Amiram Eldar, Dec 16 2020: (Start)

Sum_{n>=55} 1/a(n) = 55/54.

Sum_{n>=55} (-1)^(n+1)/a(n) = A001787(55)*log(2) - A242091(55)/54! = 990791918021509120*log(2) - 25636511174742961236844310374211301851 / 37329399710235869418 = 0.9827390452... (End)

Mathematica

Table[Binomial[n, 55], {n, 55, 80}] (* Vladimir Joseph Stephan Orlovsky, May 16 2011 *)

Prog

(Sage) [binomial(n, 55) for n in range(55, 73)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=55, 80, print1(binomial(n, 55), ", ")) \\ G. C. Greubel, Nov 03 2018
(Magma) [Binomial(n, 55): n in [55..80]]; // G. C. Greubel, Nov 03 2018

Crossrefs

Cf. A001787, A242091.

Sequence in context: A035723 A035799 A278362 * A234761 A290607 A258465

Adjacent sequences: A017716 A017717 A017718 * A017720 A017721 A017722

Keyword

nonn

Author

N. J. A. Sloane

Status

approved