A017735 Binomial coefficients C(n,71).

1, 72, 2628, 64824, 1215450, 18474840, 237093780, 2641902120, 26088783435, 231900297200, 1878392407320, 14002561581840, 96851050941060, 625806790696080, 3799541229226200, 21784036380896880

Offset: 71

Author

N. J. A. Sloane

Keywords

• nonn

Links

• Michael De Vlieger, Table of n, a(n) for n = 71..10000

Crossrefs

Cf. A001787, A242091.

Programs

Magma

[Binomial(n,71): n in [71..90]]; // G. C. Greubel, Nov 09 2018

Mathematica

Binomial[Range[71,90],71] (* Harvey P. Dale, Jul 20 2011 *)

PARI

for(n=71, 90, print1(binomial(n,71), ", ")) \\ G. C. Greubel, Nov 09 2018

Sage

[binomial(n, 71) for n in range(71,87)] # Zerinvary Lajos, May 23 2009

Formula

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

G.f.: x^71/(1-x)^72.

E.g.f.: x^71*exp(x)/71!. (End)

From Amiram Eldar, Dec 17 2020: (Start)

Sum_{n>=71} 1/a(n) = 71/70.

Sum_{n>=71} (-1)^(n+1)/a(n) = A001787(71)*log(2) - A242091(71)/70! = 83822005070936202543104*log(2) - 5752860551230913355902609244829259806879158448759 / 99014851543611364904076534 = 0.9864769747... (End)