A017732 Binomial coefficients C(n,68).

1, 69, 2415, 57155, 1028790, 15020334, 185250786, 1984829850, 18855883575, 161322559475, 1258315963905, 9036996468045, 60246643120300, 375382930211100, 2198671448379300, 12165982014365460, 63871405575418665

Offset

68,2

Links

Michael De Vlieger, Table of n, a(n) for n = 68..10000

Formula

From G. C. Greubel, Nov 09 2018: (Start)

G.f.: x^68/(1-x)^69.

E.g.f.: x^68*exp(x)/68!. (End)

From Amiram Eldar, Dec 17 2020: (Start)

Sum_{n>=68} 1/a(n) = 68/67.

Sum_{n>=68} (-1)^n/a(n) = A001787(68)*log(2) - A242091(68)/67! = 10035028776097996079104*log(2) - 202565512367285681545841250463735407356215875047 / 29122015159885695560022510 = 0.9859047391... (End)

Mathematica

Array[Binomial[#, 68] &, 17, 68] (* Michael De Vlieger, Jul 06 2018 *)

Prog

(Sage) [binomial(n, 68) for n in range(68, 85)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=68, 90, print1(binomial(n, 68), ", ")) \\ G. C. Greubel, Nov 09 2018
(Magma) [Binomial(n, 68): n in [68..90]]; // G. C. Greubel, Nov 09 2018

Crossrefs

Cf. A001787, A242091.

Sequence in context: A133708 A253334 A017785 * A252998 A202978 A206859

Adjacent sequences: A017729 A017730 A017731 * A017733 A017734 A017735

Keyword

nonn

Author

N. J. A. Sloane

Status

approved