A017735 Binomial coefficients C(n,71).

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

Offset

71,2

Links

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

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)

Mathematica

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

Prog

(Sage) [binomial(n, 71) for n in range(71, 87)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=71, 90, print1(binomial(n, 71), ", ")) \\ G. C. Greubel, Nov 09 2018
(Magma) [Binomial(n, 71): n in [71..90]]; // G. C. Greubel, Nov 09 2018

Crossrefs

Cf. A001787, A242091.

Sequence in context: A017788 A035731 A035803 * A141054 A173192 A004366

Adjacent sequences: A017732 A017733 A017734 * A017736 A017737 A017738

Keyword

nonn

Author

N. J. A. Sloane

Status

approved