A017751 Binomial coefficients C(n,87).

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

Offset

87,2

Links

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

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)

Mathematica

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

Prog

(Sage) [binomial(n, 87) for n in range(87, 103)] #  Zerinvary Lajos, May 23 2009
(PARI) for(n=87, 110, print1(binomial(n, 87), ", ")) \\ G. C. Greubel, Nov 12 2018
(Magma) [Binomial(n, 87): n in [87..110]]; // G. C. Greubel, Nov 12 2018

Crossrefs

Cf. A001787, A242091.

Sequence in context: A017804 A035739 A035807 * A137057 A197321 A004391

Adjacent sequences: A017748 A017749 A017750 * A017752 A017753 A017754

Keyword

nonn

Author

N. J. A. Sloane

Status

approved