A017722 Binomial coefficients C(n,58).

1, 59, 1770, 35990, 557845, 7028847, 74974368, 696190560, 5743572120, 42757703560, 290752384208, 1823810410032, 10638894058520, 58104729088840, 298824321028320, 1454278362337824, 6726037425812436

Offset: 58

Author

N. J. A. Sloane

Keywords

• nonn

Links

• Michael De Vlieger, Table of n, a(n) for n = 58..10000

Crossrefs

Cf. A001787, A242091.

Programs

Magma

[Binomial(n, 58): n in [58..100]]; // Vincenzo Librandi, Feb 01 2018

Mathematica

With[{x = 58}, Binomial[Range[x, x + 16], x]] (* Michael De Vlieger, Jan 31 2018 *)

PARI

for(n=58, 80, print1(binomial(n,58), ", ")) \\ G. C. Greubel, Nov 03 2018

Sage

[binomial(n, 58) for n in range(58,75)] # Zerinvary Lajos, May 23 2009

Formula

From G. C. Greubel, Nov 03 2018: (Start)

G.f.: x^58/(1-x)^59.

E.g.f.: x^58*exp(x)/58!. (End)

From Amiram Eldar, Dec 16 2020: (Start)

Sum_{n>=58} 1/a(n) = 58/57.

Sum_{n>=58} (-1)^n/a(n) = A001787(58)*log(2) - A242091(58)/57! = 8358680908399640576*log(2) - 82036835759177476061366913847977038077 / 14159427476296364262 = 0.9835896961... (End)