A017757 Binomial coefficients C(n,93).

1, 94, 4465, 142880, 3464840, 67910864, 1120529256, 16007560800, 202095455100, 2290415157800, 23591276125340, 223044792457760, 1951641934005400, 15913388077274800, 121623751733457400, 875691012480893280, 5965645022526085470, 38601232498698200100

Offset

93,2

Links

Michael De Vlieger, Table of n, a(n) for n = 93..10000

Formula

From G. C. Greubel, Nov 12 2018: (Start)

G.f.: x^93/(1-x)^94.

E.g.f.: x^93*exp(x)/93!. (End)

From Amiram Eldar, Dec 20 2020: (Start)

Sum_{n>=93} 1/a(n) = 93/92.

Sum_{n>=93} (-1)^(n+1)/a(n) = A001787(93)*log(2) - A242091(93)/92! = 460513694614161462262474211328*log(2) - 154188882548936228348285592429207553818975770453922184600043633629 / 483042174022506354371285118995346300 = 0.9895789421... (End)

Mathematica

Table[Binomial[n, 93], {n, 93, 120}] (* Vladimir Joseph Stephan Orlovsky, Jul 15 2011 *)

Prog

(Sage) [binomial(n, 93) for n in range(93, 108)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=93, 110, print1(binomial(n, 93), ", ")) \\ G. C. Greubel, Nov 12 2018
(Magma) [Binomial(n, 93): n in [93..110]]; // G. C. Greubel, Nov 12 2018

Crossrefs

Cf. A017758, A017759, A017760, A001787, A242091.

Sequence in context: A195757 A017810 A035742 * A220759 A218178 A084238

Adjacent sequences: A017754 A017755 A017756 * A017758 A017759 A017760

Keyword

nonn

Author

N. J. A. Sloane

Status

approved