A017734 Binomial coefficients C(n,70).

1, 71, 2556, 62196, 1150626, 17259390, 218618940, 2404808340, 23446881315, 205811513765, 1646492110120, 12124169174520, 82848489359220, 528955739755020, 3173734438530120, 17984495151670680

Offset

70,2

Links

Michael De Vlieger, Table of n, a(n) for n = 70..10000

Formula

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

G.f.: x^70/(1-x)^71.

E.g.f.: x^70*exp(x)/70!. (End)

From Amiram Eldar, Dec 17 2020: (Start)

Sum_{n>=70} 1/a(n) = 70/69.

Sum_{n>=70} (-1)^n/a(n) = A001787(70)*log(2) - A242091(70)/69! = 41320706725109395619840*log(2) - 202565512367285681545862986460557640882612123732 / 7072489395972240350291181 = 0.9862914664... (End)

Mathematica

Array[Binomial[#, 70] &, 16, 70] (* Michael De Vlieger, Jul 06 2018 *)

Prog

(Sage) [binomial(n, 70) for n in range(70, 86)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=70, 90, print1(binomial(n, 70), ", ")) \\ G. C. Greubel, Nov 09 2018
(Magma) [Binomial(n, 70): n in [70..90]]; // G. C. Greubel, Nov 09 2018

Crossrefs

Cf. A001787, A242091.

Sequence in context: A049295 A017787 A332665 * A263248 A221051 A239718

Adjacent sequences: A017731 A017732 A017733 * A017735 A017736 A017737

Keyword

nonn

Author

N. J. A. Sloane

Status

approved