A017743 Binomial coefficients C(n,79).

1, 80, 3240, 88560, 1837620, 30872016, 437353560, 5373200880, 58433559570, 571350360240, 5085018206136, 41604694413840, 315502265971620, 2232785266876080, 14832073558533960, 92947660966812816

Offset: 79

Author

N. J. A. Sloane

Keywords

• nonn

Links

• Michael De Vlieger, Table of n, a(n) for n = 79..10000

Crossrefs

Cf. A001787, A242091.

Programs

Magma

[Binomial(n,79): n in [79..100]]; // G. C. Greubel, Nov 09 2018

Mathematica

Array[Binomial[#, 79] &, 16, 79] (* Michael De Vlieger, Jul 06 2018 *)

PARI

for(n=79, 100, print1(binomial(n,79), ", ")) \\ G. C. Greubel, Nov 09 2018

Sage

[binomial(n, 79) for n in range(79,95)] # Zerinvary Lajos, May 23 2009

Formula

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

G.f.: x^79/(1-x)^80.

E.g.f.: x^79*exp(x)/79!. (End)

From Amiram Eldar, Dec 18 2020: (Start)

Sum_{n>=79} 1/a(n) = 79/78.

Sum_{n>=79} (-1)^(n+1)/a(n) = A001787(79)*log(2) - A242091(79)/78! = 23876284937388926200446976*log(2) - 212331179513271534870341816521451408250369273338509183843 / 12829849388763442607445716893050 = 0.9877978641... (End)