A380814 Squared distance to the origin after the n-th step of the Racetrack trajectory in A380812 and A380813.

0, 1, 5, 8, 10, 9, 5, 2, 2, 5, 9, 10, 8, 5, 4, 2, 1, 1, 8, 18, 25, 29, 26, 16, 5, 9, 20, 32, 41, 45, 40, 26, 17, 13, 16, 20, 32, 41, 45, 40, 36, 29, 25, 26, 26, 25, 25, 20, 16, 13, 17, 26, 34, 50, 61, 65, 58, 50, 37, 25, 20, 16, 13, 13, 17, 26, 34, 41, 45, 40

Offset: 0

Author

Pontus von Brömssen, Feb 05 2025

Keywords

• nonn

Links

• Pontus von Brömssen, Table of n, a(n) for n = 0..10000
• Pontus von Brömssen, Plot of the first 5000 steps of the trajectory.
• Wikipedia, Racetrack.

Crossrefs

Cf. A380812 (x-coordinates), A380813 (y-coordinates).

Formula

a(n) = A380812(n)^2 + A380813(n)^2.