A017738 Binomial coefficients C(n,74).

1, 75, 2850, 73150, 1426425, 22537515, 300500200, 3477216600, 35641470150, 328693558050, 2761025887620, 21335200040700, 152902266958350, 1023269017336650, 6431976680401800, 38163061637050680

Offset

74,2

Links

Michael De Vlieger, Table of n, a(n) for n = 74..10000

Formula

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

G.f.: x^74/(1-x)^75.

E.g.f.: x^74*exp(x)/74!. (End)

From Amiram Eldar, Dec 18 2020: (Start)

Sum_{n>=74} 1/a(n) = 74/73.

Sum_{n>=74} (-1)^n/a(n) = A001787(74)*log(2) - A242091(74)/73! = 698910239464707491627008*log(2) - 6719341123837706799694347993519215590602682862640625 / 13870107447311829845887261506 = 0.9870045330... (End)

Mathematica

Binomial[Range[74, 90], 74] (* Harvey P. Dale, Jul 25 2017 *)

Prog

(Sage) [binomial(n, 74) for n in range(74, 90)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=74, 90, print1(binomial(n, 74), ", ")) \\ G. C. Greubel, Nov 09 2018
(Magma) [Binomial(n, 74): n in [74..90]]; // G. C. Greubel, Nov 09 2018

Crossrefs

Cf. A001787, A242091.

Sequence in context: A202257 A278154 A017791 * A166725 A075913 A134228

Adjacent sequences: A017735 A017736 A017737 * A017739 A017740 A017741

Keyword

nonn

Author

N. J. A. Sloane

Status

approved