A017720 Binomial coefficients C(n,56).

1, 57, 1653, 32509, 487635, 5949147, 61474519, 553270671, 4426165368, 31966749880, 210980549208, 1285063345176, 7282025622664, 38650751381832, 193253756909160, 914734449370024, 4116305022165108, 17675898036356052

Offset

56,2

Links

G. C. Greubel, Table of n, a(n) for n = 56..10000

Formula

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

G.f.: x^56/(1-x)^57.

E.g.f.: x^56*exp(x)/56!. (End)

From Amiram Eldar, Dec 16 2020: (Start)

Sum_{n>=56} 1/a(n) = 56/55.

Sum_{n>=56} (-1)^n/a(n) = A001787(56)*log(2) - A242091(56)/55! = 2017612633061982208*log(2) - 41018417879588738008814416366926778496 / 29330242629471040257 = 0.9830322375... (End)

Mathematica

Table[Binomial[n, 56], {n, 56, 80}] (* Vladimir Joseph Stephan Orlovsky, May 16 2011 *)

Prog

(Sage) [binomial(n, 56) for n in range(56, 74)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=56, 80, print1(binomial(n, 56), ", ")) \\ G. C. Greubel, Nov 03 2018
(Magma) [Binomial(n, 56): n in [56..80]]; // G. C. Greubel, Nov 03 2018

Crossrefs

Cf. A017717, A017719, A001787, A242091.

Sequence in context: A179466 A345457 A017773 * A009702 A282932 A228259

Adjacent sequences: A017717 A017718 A017719 * A017721 A017722 A017723

Keyword

nonn

Author

N. J. A. Sloane

Status

approved