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

0,3

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.

Formula

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

Crossrefs

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

Sequence in context: A260348 A276934 A127493 * A331442 A006186 A230457

Adjacent sequences: A380811 A380812 A380813 * A380815 A380816 A380817

Keyword

nonn

Author

Pontus von Brömssen, Feb 05 2025

Status

approved