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).

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

Offset: 1

Author

Rémy Sigrist, Oct 16 2017

Keywords

• sign
• look

Comments

See A293772 for the corresponding X-coordinates and additional comments.

Links

• Rémy Sigrist, Table of n, a(n) for n = 1..10000
• Rémy Sigrist, Scatterplot of a(n) for n=1..100000

Crossrefs

Cf. A293772.