A017737 Binomial coefficients C(n,73).

1, 74, 2775, 70300, 1353275, 21111090, 277962685, 3176716400, 32164253550, 293052087900, 2432332329570, 18574174153080, 131567066917650, 870366750378300, 5408707663065150, 31731084956648880

Offset

73,2

Links

Michael De Vlieger, Table of n, a(n) for n = 73..10000

Formula

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

G.f.: x^73/(1-x)^74.

E.g.f.: x^73*exp(x)/73!. (End)

From Amiram Eldar, Dec 18 2020: (Start)

Sum_{n>=73} 1/a(n) = 73/72.

Sum_{n>=73} (-1)^(n+1)/a(n) = A001787(73)*log(2) - A242091(73)/72! = 344732753249484100599808*log(2) - 6719341123837706799694333933410296397788866483772797 / 28120217838385627632757735656 = 0.9868333169... (End)

Mathematica

Array[Binomial[#, 73] &, 16, 73] (* Michael De Vlieger, Jul 06 2018 *)

Prog

(Sage) [binomial(n, 73) for n in range(73, 89)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=73, 90, print1(binomial(n, 73), ", ")) \\ G. C. Greubel, Nov 09 2018
(Magma) [Binomial(n, 73): n in [73..90]]; // G. C. Greubel, Nov 09 2018

Crossrefs

Cf. A001787, A242091.

Sequence in context: A277941 A017790 A035732 * A358796 A034203 A264497

Adjacent sequences: A017734 A017735 A017736 * A017738 A017739 A017740

Keyword

nonn

Author

N. J. A. Sloane

Status

approved