A017743 Binomial coefficients C(n,79).

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

Offset

79,2

Links

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

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)

Mathematica

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

Prog

(Sage) [binomial(n, 79) for n in range(79, 95)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=79, 100, print1(binomial(n, 79), ", ")) \\ G. C. Greubel, Nov 09 2018
(Magma) [Binomial(n, 79): n in [79..100]]; // G. C. Greubel, Nov 09 2018

Crossrefs

Cf. A001787, A242091.

Sequence in context: A017796 A035735 A035805 * A234325 A196280 A286789

Adjacent sequences: A017740 A017741 A017742 * A017744 A017745 A017746

Keyword

nonn

Author

N. J. A. Sloane

Status

approved