A017716 Binomial coefficients C(n,52).

1, 53, 1431, 26235, 367290, 4187106, 40475358, 341149446, 2558620845, 17341763505, 107518933731, 615790256823, 3284214703056, 16421073515280, 77413632286320, 345780890878896, 1469568786235308, 5964720367660956

Offset

52,2

Links

G. C. Greubel, Table of n, a(n) for n = 52..10000

Formula

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

G.f.: x^52/(1-x)^53.

E.g.f.: x^52*exp(x)/52!. (End)

From Amiram Eldar, Dec 16 2020: (Start)

Sum_{n>=52} 1/a(n) = 52/51.

Sum_{n>=52} (-1)^n/a(n) = A001787(52)*log(2) - A242091(52)/51! = 117093590311632896*log(2) - 120926939503504532846299231985163098 / 1489925242425959955 = 0.9817952764... (End)

Mathematica

Table[Binomial[n, 52], {n, 52, 80}] (* Vladimir Joseph Stephan Orlovsky, May 16 2011 *)

Prog

(Sage) [binomial(n, 52) for n in range(52, 70)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=52, 80, print1(binomial(n, 52), ", ")) \\ G. C. Greubel, Nov 03 2018
(Magma) [Binomial(n, 52): n in [52..80]]; // G. C. Greubel, Nov 03 2018

Crossrefs

Cf. A017713, A017715, A001787, A242091.

Sequence in context: A091548 A342899 A017769 * A180365 A282931 A210783

Adjacent sequences: A017713 A017714 A017715 * A017717 A017718 A017719

Keyword

nonn

Author

N. J. A. Sloane

Status

approved