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A017754

Binomial coefficients C(n,90).

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

(list; graph; refs; listen; history; text; internal format)

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

(SageMath) [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

URL: https://oeis.org/A017754

⇱ A017754 - OEIS