A017731 Binomial coefficients C(n,67).

1, 68, 2346, 54740, 971635, 13991544, 170230452, 1799579064, 16871053725, 142466675900, 1096993404430, 7778680504140, 51209646652255, 315136287090800, 1823288518168200, 9967310565986160, 51705423561053205

Offset

67,2

Links

Michael De Vlieger, Table of n, a(n) for n = 67..10000

Formula

From G. C. Greubel, Nov 03 2018: (Start)

G.f.: x^67/(1-x)^68.

E.g.f.: x^67*exp(x)/67!. (End)

From Amiram Eldar, Dec 17 2020: (Start)

Sum_{n>=67} 1/a(n) = 67/66.

Sum_{n>=67} (-1)^(n+1)/a(n) = A001787(67)*log(2) - A242091(67)/66! = 4943727411754159833088*log(2) - 202565512367285681545811693791632836799528091007 / 59113344205141113375568080 = 0.9857030700... (End)

Mathematica

Array[Binomial[#, 67] &, 17, 67]

Prog

(Sage) [binomial(n, 67) for n in range(67, 84)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=67, 90, print1(binomial(n, 67), ", ")) \\ G. C. Greubel, Nov 08 2018
(Magma) [Binomial(n, 67): n in [67..90]]; // G. C. Greubel, Nov 08 2018

Crossrefs

Cf. A001787, A242091.

Sequence in context: A017784 A035802 A035729 * A204298 A281556 A093268

Adjacent sequences: A017728 A017729 A017730 * A017732 A017733 A017734

Keyword

nonn

Author

N. J. A. Sloane

Status

approved