A017762 - OEIS

A017762

Binomial coefficients C(n,98).

1, 99, 4950, 166650, 4249575, 87541245, 1517381580, 22760723700, 301579589025, 3585446225075, 38722819230810, 383707936014390, 3517322746798575, 30032524991895525, 240260199935164200, 1809960172844903640, 12895966231519938435, 87237418624987818825

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

OFFSET

98,2

LINKS

Michael De Vlieger, Table of n, a(n) for n = 98..10000

FORMULA

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

G.f.: x^98/(1-x)^99.

E.g.f.: x^98*exp(x)/98!. (End)

From Amiram Eldar, Dec 20 2020: (Start)

Sum_{n>=98} 1/a(n) = 98/97.

Sum_{n>=98} (-1)^n/a(n) = A001787(98)*log(2) - A242091(98)/97! = 15528719852795810168334614265856*log(2) - 1914409165727592211172313915606799843601351282016393511620277508464529 / 177858100075797135623810737079878325400 = 0.9900952340... (End)

MAPLE

A017762:=n->binomial(n, 98); seq(A017762(k), k=98..200); # Wesley Ivan Hurt, Nov 05 2013

MATHEMATICA

Table[Binomial[n, 98], {n, 98, 120}] (* Vladimir Joseph Stephan Orlovsky, Jul 15 2011 *)

PROG

(Sage) [binomial(n, 98) for n in range(98, 113)] # Zerinvary Lajos, May 23 2009

(PARI) a(n)=binomial(n, 98) \\ Charles R Greathouse IV, Jun 28 2012

(Magma) [Binomial(n, 98): n in [98..115]]; // G. C. Greubel, Nov 12 2018

CROSSREFS

Cf. A001787, A242091.

Sequence in context: A196745 A196903 A017815 * A265375 A197528 A196221

Adjacent sequences: A017759 A017760 A017761 * A017763 A017764 A017765

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved