A017744 Binomial coefficients C(n,80).

1, 81, 3321, 91881, 1929501, 32801517, 470155077, 5843355957, 64276915527, 635627275767, 5720645481903, 47325339895743, 362827605867363, 2595612872743443, 17427686431277403, 110375347398090219

Offset

80,2

Links

Michael De Vlieger, Table of n, a(n) for n = 80..10000

Formula

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

G.f.: x^80/(1-x)^81.

E.g.f.: x^80*exp(x)/80!. (End)

From Amiram Eldar, Dec 18 2020: (Start)

Sum_{n>=80} 1/a(n) = 80/79.

Sum_{n>=80} (-1)^n/a(n) = A001787(80)*log(2) - A242091(80)/79! = 48357032784585166988247040*log(2) - 3397298872212344557925469166982017642113449232981882085888 / 101355810171231196598821163455095 = 0.9879450412... (End)

Mathematica

Array[Binomial[#, 80] &, 16, 80] (* Michael De Vlieger, Jul 06 2018 *)

Prog

(Sage) [binomial(n, 80) for n in range(80, 96)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=80, 100, print1(binomial(n, 80), ", ")) \\ G. C. Greubel, Nov 09 2018
(Magma) [Binomial(n, 80): n in [80..100]]; // G. C. Greubel, Nov 09 2018

Crossrefs

Cf. A001787, A242091.

Sequence in context: A017797 A205207 A254415 * A232945 A345005 A223477

Adjacent sequences: A017741 A017742 A017743 * A017745 A017746 A017747

Keyword

nonn

Author

N. J. A. Sloane

Status

approved