%I #21 Nov 24 2024 10:15:55

%S 1,2,75,-1,-1,-2,1,2,31,-1,-2,29,1,5,-6,1,1,3,-1,-1,-1,-1,-1,-9,1,1,1,

%T 2,-2,-35,0,0,-1,-1,-1,-1,-1,-1,-2,1,1,1,5,-1,-2,4,1,2,-4,0,0,0,-1,-1,

%U -1,-1,-1,-1,-2,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,-1

%N Nearest integer to b(n), where b(n) = tan(b(n-1)), b(0) = 1.

%C We have a(11764189) = 329, from b(11764189) ~ 328.86367. This value was found using interval arithmetic with MPFR's tangent function (rounding the results downward and upward at each step), starting at an initial precision of 70000 bits. - _Matthew House_, Nov 17 2024

%H Matthew House, <a href="/A000329/b000329.txt">Table of n, a(n) for n = 0..10000</a> (terms 0..1016 from Peter J. Taylor)

%H Peter J. Taylor, <a href="/A000329/a000329.cs.txt">C# program to output a b-file</a>

%t Round[NestList[Tan, 1, 100]] (* _Matthew House_, Nov 17 2024 *)

%Y Cf. A000319.

%K sign

%O 0,2

%A _N. J. A. Sloane_

%E Terms a(71) and beyond from _Peter J. Taylor_, Nov 23 2017