A017761 Binomial coefficients C(n,97).

1, 98, 4851, 161700, 4082925, 83291670, 1429840335, 21243342120, 278818865325, 3283866636050, 35137373005735, 344985116783580, 3133614810784185, 26515202245096950, 210227674943268675, 1569699972909739440, 11086006058675034795, 74341452393467880390

Offset

97,2

Links

Michael De Vlieger, Table of n, a(n) for n = 97..10000

Formula

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

G.f.: x^97/(1-x)^98.

E.g.f.: x^97*exp(x)/97!. (End)

From Amiram Eldar, Dec 20 2020: (Start)

Sum_{n>=97} 1/a(n) = 97/96.

Sum_{n>=97} (-1)^(n+1)/a(n) = A001787(97)*log(2) - A242091(97)/96! = 7685131763883640746573763182592*log(2) - 1914409165727592211172313915606620151912614909652567393556011239640929 / 359383377472744727652236128532537647200 = 0.9899961107... (End)

Mathematica

Table[Binomial[n, 97], {n, 97, 120}] (* Vladimir Joseph Stephan Orlovsky, Jul 15 2011 *)

Prog

(Sage) [binomial(n, 97) for n in range(97, 112)] # Zerinvary Lajos, May 23 2009
(PARI) a(n)=binomial(n, 97) \\ Charles R Greathouse IV, Jun 28 2012
(Magma) [Binomial(n, 97): n in [97..110]]; // G. C. Greubel, Nov 12 2018

Crossrefs

Cf. A017762, A001787, A242091.

Sequence in context: A233920 A017814 A035744 * A093298 A201389 A263032

Adjacent sequences: A017758 A017759 A017760 * A017762 A017763 A017764

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved