A017749 Binomial coefficients C(n,85).

1, 86, 3741, 109736, 2441626, 43949268, 666563898, 8760554088, 101841441273, 1063677275518, 10104934117421, 88188515933856, 712857170465336, 5373846361969456, 38000770702498296, 253338471349988640

Offset

85,2

Links

Michael De Vlieger, Table of n, a(n) for n = 85..10000

Formula

From G. C. Greubel, Nov 10 2018: (Start)

G.f.: x^85/(1-x)^86.

E.g.f.: x^85*exp(x)/85!. (End)

From Amiram Eldar, Dec 20 2020: (Start)

Sum_{n>=85} 1/a(n) = 85/84.

Sum_{n>=85} (-1)^(n+1)/a(n) = A001787(85)*log(2) - A242091(85)/84! = 1644139114675895677600399360*log(2) - 6767419353446990359387534774224303418673702374958256693151691 / 5938258054738015988966228164780860 = 0.9886306766... (End)

Maple

seq(binomial(n, 85), n=85..100); # Muniru A Asiru, Nov 11 2018

Mathematica

Array[Binomial[#, 85] &, 16, 85] (* Michael De Vlieger, Jul 06 2018 *)

Prog

(Sage) [binomial(n, 85) for n in range(85, 101)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=85, 105, print1(binomial(n, 85), ", ")) \\ G. C. Greubel, Nov 10 2018
(Magma) [Binomial(n, 85): n in [85..105]]; // G. C. Greubel, Nov 10 2018
(GAP) List([85..100], n->Binomial(n, 85)); # Muniru A Asiru, Nov 11 2018

Crossrefs

Cf. A001787, A242091.

Sequence in context: A230783 A017802 A035738 * A319134 A266823 A262471

Adjacent sequences: A017746 A017747 A017748 * A017750 A017751 A017752

Keyword

nonn

Author

N. J. A. Sloane

Status

approved