A017751 Binomial coefficients C(n,87).

1, 88, 3916, 117480, 2672670, 49177128, 762245484, 10235867928, 121550931645, 1296543270880, 12576469727536, 112044912118048, 924370524973896, 7110542499799200, 51297485177122800, 348822899204435040

Offset: 87

Author

N. J. A. Sloane

Keywords

• nonn

Links

• G. C. Greubel, Table of n, a(n) for n = 87..10000

Crossrefs

Cf. A001787, A242091.

Programs

Magma

[Binomial(n,87): n in [87..110]]; // G. C. Greubel, Nov 12 2018

Mathematica

Binomial[Range[87, 110], 87] (* G. C. Greubel, Nov 12 2018 *)

PARI

for(n=87, 110, print1(binomial(n,87), ", ")) \\ G. C. Greubel, Nov 12 2018

Sage

[binomial(n, 87) for n in range(87,103)] #  Zerinvary Lajos, May 23 2009

Formula

From G. C. Greubel, Nov 12 2018: (Start)

G.f.: x^87/(1-x)^88.

E.g.f.: x^87*exp(x)/87!. (End)

From Amiram Eldar, Dec 20 2020: (Start)

Sum_{n>=87} 1/a(n) = 87/86.

Sum_{n>=87} (-1)^(n+1)/a(n) = A001787(87)*log(2) - A242091(87)/86! = 6731298963614255244763987968*log(2) - 13534838706893980718775069557321469163322230965988145004609667 / 2900873187659375626793847091990650 = 0.9888835692... (End)