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

96,2

Links

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

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)

Mathematica

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

Prog

(Sage) [binomial(n, 96) for n in range(96, 111)] # Zerinvary Lajos, May 23 2009
(PARI) a(n)=binomial(n, 96) \\ Charles R Greathouse IV, Jun 28 2012
(Magma) [Binomial(n, 96): n in [96..110]]; // G. C. Greubel, Nov 12 2018

Crossrefs

Cf. A017761, A017762, A001787, A242091.

Sequence in context: A075665 A012839 A017813 * A069419 A189341 A189777

Adjacent sequences: A017757 A017758 A017759 * A017761 A017762 A017763

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved