A017740 Binomial coefficients C(n,76).

1, 77, 3003, 79079, 1581580, 25621596, 350161812, 4151918628, 43595145594, 411731930610, 3540894603246, 28005257316582, 205371886988268, 1406007533996604, 9038619861406740, 54834293825867556

Offset

76,2

Links

Michael De Vlieger, Table of n, a(n) for n = 76..10000

Formula

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

G.f.: x^76/(1-x)^77.

E.g.f.: x^76*exp(x)/76!. (End)

From Amiram Eldar, Dec 18 2020: (Start)

Sum_{n>=76} 1/a(n) = 76/75.

Sum_{n>=76} (-1)^n/a(n) = A001787(76)*log(2) - A242091(76)/75! = 2871198821584744289927168*log(2) - 671934112383770679969435834986610958343563445846254948 / 337627615493774805459097812975 = 0.9873339376... (End)

Mathematica

Array[Binomial[#, 76] &, 16, 76] (* Michael De Vlieger, Jul 06 2018 *)

Prog

(Sage) [binomial(n, 76) for n in range(76, 92)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=76, 95, print1(binomial(n, 76), ", ")) \\ G. C. Greubel, Nov 09 2018
(Magma) [Binomial(n, 76): n in [76..95]]; // G. C. Greubel, Nov 09 2018

Crossrefs

Cf. A001787, A242091.

Sequence in context: A289232 A225703 A017793 * A197193 A004378 A049658

Adjacent sequences: A017737 A017738 A017739 * A017741 A017742 A017743

Keyword

nonn

Author

N. J. A. Sloane

Status

approved