A017730 - OEIS

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A017730

Binomial coefficients C(n,66).

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

(list; graph; refs; listen; history; text; internal format)

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

(Sage) [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