This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A079037 #7 Mar 30 2012 18:39:12 %S A079037 1,3,5,11,344,1054,1764,2474,3184,3894,4604,5314,6024,6734,7444,8154, %T A079037 8864,9574,10284,10994,11704,12414,13124,13834,14544,15254,15964, %U A079037 16674,17384,18094,18804,19514,20224,20934,21644,22354,23064,23774,24484 %N 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)). %e A079037 sin(1)=0.84147..., sin(2)=0.90929..., sin(3)=0.14112..., hence a(2)=3 %o A079037 (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) %Y A079037 Cf. A046947 ( for abs(sin(x)) ). %K A079037 nonn %O A079037 0,2 %A A079037 _Benoit Cloitre_, Feb 01 2003