A017730 Binomial coefficients C(n,66).

1, 67, 2278, 52394, 916895, 13019909, 156238908, 1629348612, 15071474661, 125595622175, 954526728530, 6681687099710, 43430966148115, 263926640438545, 1508152231077400, 8144022047817960, 41738112995067045

Offset

66,2

Links

Michael De Vlieger, Table of n, a(n) for n = 66..10000

Formula

From G. C. Greubel, Nov 08 2018: (Start)

G.f.: x^66/(1-x)^67.

E.g.f.: x^66*exp(x)/66!. (End)

From Amiram Eldar, Dec 17 2020: (Start)

Sum_{n>=66} 1/a(n) = 66/65.

Sum_{n>=66} (-1)^n/a(n) = A001787(66)*log(2) - A242091(66)/65! = 2434970217729660813312*log(2) - 3023365856228144500682860967025333056122272941 / 1791313460761851920471760 = 0.9854955419... (End)

Mathematica

Binomial[Range[66, 86], 66] (* Harvey P. Dale, Dec 25 2011 *)

Prog

(SageMath) [binomial(n, 66) for n in range(66, 83)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=66, 90, print1(binomial(n, 66), ", ")) \\ G. C. Greubel, Nov 08 2018
(Magma) [Binomial(n, 66): n in [66..90]]; // G. C. Greubel, Nov 08 2018

Crossrefs

Cf. A001787, A242091.

Sequence in context: A078850 A092795 A017783 * A078953 A226713 A069397

Adjacent sequences: A017727 A017728 A017729 * A017731 A017732 A017733

Keyword

nonn

Author

N. J. A. Sloane

Status

approved