A210509 x(n+1) = x(n)*Pi/3 with x(0) = Pi, and a(n) = floor(x(n)).

3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11, 12, 13, 13, 14, 15, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 30, 31, 33, 34, 36, 37, 39, 41, 43, 45, 47, 49, 52, 54, 57, 60, 62, 65, 69, 72, 75, 79, 83, 86

Offset: 0

Author

Jon Perry, Jan 25 2013

Keywords

• nonn

Comments

24 is the first number greater than 3 not in the sequence.

Later output is more separated, for example: 40888572599, 42818413097, 44839337342, 46955644261.

Crossrefs

Cf. A000796 (Pi), A019670 (Pi/3).

Programs

JavaScript

pi=Math.PI;
x=pi;
for (i=0;i<600;i++) {x*=pi;x/=3;document.write(Math.floor(x)+", ");}

Formula

x(n+1) = x(n)*Pi/3 with x(0) = Pi, and a(n) = floor(x(n)).