A017760 Binomial coefficients C(n,96).

1, 97, 4753, 156849, 3921225, 79208745, 1346548665, 19813501785, 257575523205, 3005047770725, 31853506369685, 309847743777845, 2788629694000605, 23381587434312765, 183712472698171725, 1359472297966470765, 9516306085765295355, 63255446334792845595

Offset: 96

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Michael De Vlieger, Table of n, a(n) for n = 96..10000

Crossrefs

Cf. A017761, A017762, A001787, A242091.

Programs

Magma

[Binomial(n,96): n in [96..110]]; // G. C. Greubel, Nov 12 2018

Mathematica

Table[Binomial[n, 96], {n, 96, 120}] (* Vladimir Joseph Stephan Orlovsky, Jul 15 2011 *)

PARI

a(n)=binomial(n,96) \\ Charles R Greathouse IV, Jun 28 2012

Sage

[binomial(n, 96) for n in range(96,111)] # Zerinvary Lajos, May 23 2009

Formula

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

G.f.: x^96/(1-x)^97.

E.g.f.: x^96*exp(x)/96!. (End)

From Amiram Eldar, Dec 20 2020: (Start)

Sum_{n>=96} 1/a(n) = 96/95.

Sum_{n>=96} (-1)^n/a(n) = A001787(96)*log(2) - A242091(96)/95! = 3802951800684688204490109616128*log(2) - 9868088483131918614290277915496170231743780878869426700864981897216 / 3743576848674424246377459672213933825 = 0.9898949826... (End)