A017750 Binomial coefficients C(n,86).

1, 87, 3828, 113564, 2555190, 46504458, 713068356, 9473622444, 111315063717, 1174992339235, 11279926456656, 99468442390512, 812325612855848, 6186171974825304, 44186942677323600, 297525414027312240

Offset

86,2

Links

Michael De Vlieger, Table of n, a(n) for n = 86..10000

Formula

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

G.f.: x^86/(1-x)^87.

E.g.f.: x^86*exp(x)/86!. (End)

From Amiram Eldar, Dec 20 2020: (Start)

Sum_{n>=86} 1/a(n) = 86/85.

Sum_{n>=86} (-1)^n/a(n) = A001787(86)*log(2) - A242091(86)/85! = 3326963855579459488791396352*log(2) - 6767419353446990359387534777193432446042710369441370775542121 / 2934604271236810227105403453525425 = 0.9887585457... (End)

Maple

seq(binomial(n, 86), n=86..102); # Muniru A Asiru, Nov 11 2018

Mathematica

Array[Binomial[#, 86] &, 16, 86] (* Michael De Vlieger, Jul 06 2018 *)

Prog

(Sage) [binomial(n, 86) for n in range(86, 102)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=86, 105, print1(binomial(n, 86), ", ")) \\ G. C. Greubel, Nov 10 2018
(Magma) [Binomial(n, 86): n in [86..105]]; // G. C. Greubel, Nov 10 2018
(GAP) List([86..102], n->Binomial(n, 86)); # Muniru A Asiru, Nov 11 2018

Crossrefs

Cf. A001787, A242091.

Sequence in context: A324112 A116269 A017803 * A291130 A183040 A072692

Adjacent sequences: A017747 A017748 A017749 * A017751 A017752 A017753

Keyword

nonn

Author

N. J. A. Sloane

Status

approved