A017748 Binomial coefficients C(n,84).

1, 85, 3655, 105995, 2331890, 41507642, 622614630, 8093990190, 93080887185, 961835834245, 9041256841903, 78083581816435, 624668654531480, 4660989191504120, 32626924340528840, 215337700647490344

Offset

84,2

Links

Michael De Vlieger, Table of n, a(n) for n = 84..10000

Formula

From G. C. Greubel, Nov 10 2018: (Start)

G.f.: x^84/(1-x)^85.

E.g.f.: x^84*exp(x)/84!. (End)

From Amiram Eldar, Dec 18 2020: (Start)

Sum_{n>=84} 1/a(n) = 84/83.

Sum_{n>=84} (-1)^n/a(n) = A001787(84)*log(2) - A242091(84)/83! = 812398150781030805402550272*log(2) - 3383709676723495179693767384107675907832497859728358144156958 / 6008951603008706655501540404837775 = 0.9884998637... (End)

Maple

seq(binomial(n, 84), n=84..100); # Muniru A Asiru, Nov 11 2018

Mathematica

Array[Binomial[#, 84] &, 16, 84] (* Michael De Vlieger, Jul 06 2018 *)

Prog

(Sage) [binomial(n, 84) for n in range(84, 100)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=84, 105, print1(binomial(n, 84), ", ")) \\ G. C. Greubel, Nov 10 2018
(Magma) [Binomial(n, 84): n in [84..105]]; // G. C. Greubel, Nov 10 2018
(GAP) List([84..100], n->Binomial(n, 84)); # Muniru A Asiru, Nov 11 2018

Crossrefs

Cf. A001787, A242091.

Sequence in context: A339198 A017801 A201799 * A158796 A201796 A093285

Adjacent sequences: A017745 A017746 A017747 * A017749 A017750 A017751

Keyword

nonn

Author

N. J. A. Sloane

Status

approved