A079037 a(0)=1; a(n) is the smallest integer > a(n-1) such that sin(a(n)) is closer to an integer (here 0 or -1) than sin(a(n-1)).

1, 3, 5, 11, 344, 1054, 1764, 2474, 3184, 3894, 4604, 5314, 6024, 6734, 7444, 8154, 8864, 9574, 10284, 10994, 11704, 12414, 13124, 13834, 14544, 15254, 15964, 16674, 17384, 18094, 18804, 19514, 20224, 20934, 21644, 22354, 23064, 23774, 24484

Offset: 0

Author

Benoit Cloitre, Feb 01 2003

Keywords

• nonn

Examples

			sin(1)=0.84147..., sin(2)=0.90929..., sin(3)=0.14112..., hence a(2)=3
		

Crossrefs

Cf. A046947 ( for abs(sin(x)) ).

Programs

PARI

x=1; y=1; a(n)=if(n<0,0,b=y+1; while(frac(sin(b))>frac(sin(x)),b++); x=b; y=b; b)