A017754 Binomial coefficients C(n,90).

1, 91, 4186, 129766, 3049501, 57940519, 927048304, 12846240784, 157366449604, 1731030945644, 17310309456440, 158940114100040, 1350990969850340, 10704005376506540, 79515468511191440, 556608279578340080

Offset

90,2

Links

Michael De Vlieger, Table of n, a(n) for n = 90..10000

Formula

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

G.f.: x^90/(1-x)^91.

E.g.f.: x^90*exp(x)/90!. (End)

From Amiram Eldar, Dec 20 2020: (Start)

Sum_{n>=90} 1/a(n) = 90/89.

Sum_{n>=90} (-1)^n/a(n) = A001787(90)*log(2) - A242091(90)/89! = 55707301767842112370460590080*log(2) - 19273610318617028543535699053216921237020997586282137829762590933 / 499143579823256566183661289628524510 = 0.9892424860... (End)

Mathematica

Array[Binomial[#, 90] &, 16, 90] (* Michael De Vlieger, Jul 06 2018 *)

Prog

(Sage) [binomial(n, 90) for n in range(90, 106)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=90, 110, print1(binomial(n, 90), ", ")) \\ G. C. Greubel, Nov 12 2018
(Magma) [Binomial(n, 90): n in [90..110]]; // G. C. Greubel, Nov 12 2018

Crossrefs

Cf. A001787, A242091.

Sequence in context: A096054 A129965 A017807 * A283383 A004380 A234123

Adjacent sequences: A017751 A017752 A017753 * A017755 A017756 A017757

Keyword

nonn

Author

N. J. A. Sloane

Status

approved