A017722 Binomial coefficients C(n,58).

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

Offset

58,2

Links

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

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)

Mathematica

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

Prog

(Sage) [binomial(n, 58) for n in range(58, 75)] # Zerinvary Lajos, May 23 2009
(Magma) [Binomial(n, 58): n in [58..100]]; // Vincenzo Librandi, Feb 01 2018
(PARI) for(n=58, 80, print1(binomial(n, 58), ", ")) \\ G. C. Greubel, Nov 03 2018

Crossrefs

Cf. A001787, A242091.

Sequence in context: A278366 A134652 A017775 * A263508 A119886 A135649

Adjacent sequences: A017719 A017720 A017721 * A017723 A017724 A017725

Keyword

nonn

Author

N. J. A. Sloane

Status

approved