A017752 Binomial coefficients C(n,88).

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

Offset

88,2

Links

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

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)

Mathematica

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

Prog

(Sage) [binomial(n, 88) for n in range(88, 104)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=88, 110, print1(binomial(n, 88), ", ")) \\ G. C. Greubel, Nov 12 2018
(Magma) [Binomial(n, 88): n in [88..110]]; // G. C. Greubel, Nov 12 2018

Crossrefs

Cf. A001787, A242091.

Sequence in context: A322503 A157757 A017805 * A282478 A342049 A264323

Adjacent sequences: A017749 A017750 A017751 * A017753 A017754 A017755

Keyword

nonn

Author

N. J. A. Sloane

Status

approved