The OEIS is supported by the many generous donors to the OEIS Foundation.

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 60th year, we have over 367,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A293773 Let P be the sequence of distinct lattice points defined by the following rules: P(1) = (0,0), P(2) = (1,0), and for any i < j < k, P(k) does not lie on the vector (P(i), P(j)), and for any n > 2, P(n) is the closest lattice point to P(n-1) such that the angle of the vectors (P(n-2), P(n-1)) and (P(n-1), P(n)), say t, satisfies 0 < t <= Pi/2, and in case of a tie, minimize the angle t; a(n) = Y-coordinate of P(n). 2

%I #10 Oct 16 2017 12:54:56

%S 0,0,1,1,0,-1,-1,0,1,2,2,1,-1,-2,-2,-1,1,2,3,3,2,1,-1,-2,-3,-3,-2,-1,

%T 2,3,4,4,3,1,0,-1,-3,-4,-4,-3,-2,0,4,5,5,4,2,-1,-2,-3,-5,-5,-4,-1,1,4,

%U 5,6,6,5,3,2,-2,-3,-4,-5,-6,-6,-5,-3,0,6,7,7,6,4

%N Let P be the sequence of distinct lattice points defined by the following rules: P(1) = (0,0), P(2) = (1,0), and for any i < j < k, P(k) does not lie on the vector (P(i), P(j)), and for any n > 2, P(n) is the closest lattice point to P(n-1) such that the angle of the vectors (P(n-2), P(n-1)) and (P(n-1), P(n)), say t, satisfies 0 < t <= Pi/2, and in case of a tie, minimize the angle t; a(n) = Y-coordinate of P(n).

%H Rémy Sigrist, <a href="/A293773/b293773.txt">Table of n, a(n) for n = 1..10000</a>

%H Rémy Sigrist, <a href="/A293773/a293773.png">Scatterplot of a(n) for n=1..100000</a>

%Y Cf. A293772.

%K sign,look

%O 1,10

%A _Rémy Sigrist_, Oct 16 2017

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 5 23:11 EST 2023. Contains 367594 sequences. (Running on oeis4.)