A017753 Binomial coefficients C(n,89).

1, 90, 4095, 125580, 2919735, 54891018, 869107785, 11919192480, 144520208820, 1573664496040, 15579278510796, 141629804643600, 1192050855750300, 9353014406656200, 68811463134684900, 477092811067148640

Offset

89,2

Links

Michael De Vlieger, Table of n, a(n) for n = 89..10000

Formula

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

G.f.: x^89/(1-x)^90.

E.g.f.: x^89*exp(x)/89!. (End)

From Amiram Eldar, Dec 20 2020: (Start)

Sum_{n>=89} 1/a(n) = 89/88.

Sum_{n>=89} (-1)^(n+1)/a(n) = A001787(89)*log(2) - A242091(89)/88! = 27544165874099711116505513984*log(2) - 19273610318617028543535699052712169302368266227220008435756217833 / 1009503869305462718124258788012746200 = 0.9891254514... (End)

Mathematica

Array[Binomial[#, 89] &, 16, 89] (* Michael De Vlieger, Jul 06 2018 *)

Prog

(Sage) [binomial(n, 89) for n in range(89, 105)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=89, 110, print1(binomial(n, 89), ", ")) \\ G. C. Greubel, Nov 12 2018
(Magma) [Binomial(n, 89): n in [89..110]]; // G. C. Greubel, Nov 12 2018

Crossrefs

Cf. A001787, A242091.

Sequence in context: A200208 A017806 A035740 * A221893 A197194 A281580

Adjacent sequences: A017750 A017751 A017752 * A017754 A017755 A017756

Keyword

nonn

Author

N. J. A. Sloane

Status

approved