A017762 Binomial coefficients C(n,98).

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

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