A017752 Binomial coefficients C(n,88).

1, 89, 4005, 121485, 2794155, 51971283, 814216767, 11050084695, 132601016340, 1429144287220, 14005614014756, 126050526132804, 1050421051106700, 8160963550905900, 59458448728028700, 408281347932463740

Offset: 88

Author

N. J. A. Sloane

Keywords

• nonn

Links

• Michael De Vlieger, Table of n, a(n) for n = 88..10000

Crossrefs

Cf. A001787, A242091.

Programs

Magma

[Binomial(n,88): n in [88..110]]; // G. C. Greubel, Nov 12 2018

Mathematica

Binomial[Range[88,110],88] (* Harvey P. Dale, Mar 24 2013 *)

PARI

for(n=88, 110, print1(binomial(n,88), ", ")) \\ G. C. Greubel, Nov 12 2018

Sage

[binomial(n, 88) for n in range(88,104)] # Zerinvary Lajos, May 23 2009

Formula

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

G.f.: x^88/(1-x)^89.

E.g.f.: x^88*exp(x)/88!. (End)

From Amiram Eldar, Dec 20 2020: (Start)

Sum_{n>=88} 1/a(n) = 88/87.

Sum_{n>=88} (-1)^n/a(n) = A001787(88)*log(2) - A242091(88)/87! = 13617340432139183023890366464*log(2) - 108278709655151845750200556470175246057215350235080548404839936 / 11471634878471167251412031681963025 = 0.9890058411... (End)