A017740 Binomial coefficients C(n,76).

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

Offset: 76

Author

N. J. A. Sloane

Keywords

• nonn

Links

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

Crossrefs

Cf. A001787, A242091.

Programs

Magma

[Binomial(n,76): n in [76..95]]; // G. C. Greubel, Nov 09 2018

Mathematica

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

PARI

for(n=76, 95, print1(binomial(n,76), ", ")) \\ G. C. Greubel, Nov 09 2018

Sage

[binomial(n, 76) for n in range(76,92)] # Zerinvary Lajos, May 23 2009

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)