A082964 - OEIS

%I #27 Jul 26 2023 18:02:18

%S 0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,9,9,9,10,10,10,

%T 11,11,11,11,12,12,12,13,13,13,14,14,14,15,15,15,16,16,16,17,17,17,18,

%U 18,18,18,19,19,19,20,20,20,21,21,21,22,22,22,23,23,23,24,24,24,25,25,25

%N a(n) = round(n/Pi), n divided by Pi rounded to the nearest integer.

%H Hugo Pfoertner, <a href="/A082964/b082964.txt">Table of n, a(n) for n = 0..10000</a>

%H Xavier Gordon and Pascal Sebah, <a href="http://numbers.computation.free.fr/Constants/constants.html">Mathematical Constants and Computations</a>

%H Cino Hilliard, <a href="http://groups.msn.com/BC2LCC/page.msnw?fc_p=%2FPi%20and%20Trig%20stuff&amp;fc_a=0">Qfloat BCX arctan(tan(-3)) etc</a>

%e For n = 11, a(11) = (arctan(tan(11))-11)/Pi = -4;

%e For n = 12, a(12) = (arctan(tan(12))-12)/Pi = -4;

%e For n = 13, a(13) = (arctan(tan(13))-13)/Pi = -4;

%e For n = 14, a(14) = (arctan(tan(14))-14)/Pi = -4.

%o (PARI) a(n) = round (n/Pi)

%Y Cf. A032615, A296357, A000796, A002485, A022853.

%K easy,nonn

%O 0,6

%A _Cino Hilliard_, May 27 2003

%E Simplified NAME from _Hugo Pfoertner_, Jul 20 2023