A017718 Binomial coefficients C(n,54).

1, 55, 1540, 29260, 424270, 5006386, 50063860, 436270780, 3381098545, 23667689815, 151473214816, 895068996640, 4922879481520, 25371763481680, 123234279768160, 566877686933536, 2480089880334220, 10358022441395860

Offset

54,2

Links

Michael De Vlieger, Table of n, a(n) for n = 54..10000

Formula

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

G.f.: x^54/(1-x)^55.

E.g.f.: x^54*exp(x)/54!. (End)

From Amiram Eldar, Dec 16 2020: (Start)

Sum_{n>=54} 1/a(n) = 54/53.

Sum_{n>=54} (-1)^n/a(n) = A001787(54)*log(2) - A242091(54)/53! = 486388759756013568*log(2) - 12818255587371480599411812742078124833 / 38020684890055052185 = 0.9824355313... (End)

Mathematica

Binomial[Range[54, 80], 54]  (* Harvey P. Dale, Apr 02 2011 *)

Prog

(Sage) [binomial(n, 54) for n in range(54, 72)] # Zerinvary Lajos, May 23 2009
(Magma) [ Binomial(n, 54): n in [54..180]]; // Vincenzo Librandi, Apr 04 2011
(PARI) for(n=54, 80, print1(binomial(n, 54), ", ")) \\ G. C. Greubel, Nov 03 2018

Crossrefs

Cf. A001787, A242091.

Sequence in context: A322502 A271796 A222836 * A173113 A166844 A077688

Adjacent sequences: A017715 A017716 A017717 * A017719 A017720 A017721

Keyword

nonn

Author

N. J. A. Sloane

Status

approved