A017741 Binomial coefficients C(n,77).

1, 78, 3081, 82160, 1663740, 27285336, 377447148, 4529365776, 48124511370, 459856441980, 4000751045226, 32006008361808, 237377895350076, 1643385429346680, 10682005290753420, 65516299116620976, 380813488615359423, 2105674584108457986, 11113282527239083815

Offset

77,2

Links

G. C. Greubel, Table of n, a(n) for n = 77..10000

Formula

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

G.f.: x^77/(1-x)^78.

E.g.f.: x^77*exp(x)/77!. (End)

From Amiram Eldar, Dec 18 2020: (Start)

Sum_{n>=77} 1/a(n) = 77/76.

Sum_{n>=77} (-1)^(n+1)/a(n) = A001787(77)*log(2) - A242091(77)/76! = 5817955506895402903273472*log(2) - 1343868224767541359938872007600837410461932350790322871 / 333242841266582924868719919300 = 0.9874924526... (End)

Mathematica

Binomial[Range[77, 100], 77] (* Alonso del Arte, Nov 29 2017 *)

Prog

(Sage) [binomial(n, 77) for n in range(77, 93)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=77, 95, print1(binomial(n, 77), ", ")) \\ G. C. Greubel, Nov 09 2018
(Magma) [Binomial(n, 77): n in [77..95]]; // G. C. Greubel, Nov 09 2018

Crossrefs

Cf. A001787, A242091.

Sequence in context: A146479 A017794 A035734 * A060562 A004367 A194568

Adjacent sequences: A017738 A017739 A017740 * A017742 A017743 A017744

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved