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

Author

N. J. A. Sloane

Keywords

• nonn

Links

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

Crossrefs

Cf. A001787, A242091.

Programs

Magma

[Binomial(n,68): n in [68..90]]; // G. C. Greubel, Nov 09 2018

Mathematica

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

PARI

for(n=68, 90, print1(binomial(n,68), ", ")) \\ G. C. Greubel, Nov 09 2018

Sage

[binomial(n, 68) for n in range(68,85)] # Zerinvary Lajos, May 23 2009

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)