A351043 Lexicographically earliest Racetrack trajectory (using von Neumann neighborhood) on spiral on infinite square grid.

0, 1, 9, 24, 46, 45, 21, 6, 4, 15, 33, 32, 12, 11, 10, 8, 7, 5, 16, 36, 63, 97, 96, 60, 13, 27, 50, 80, 119, 165, 164, 116, 75, 41, 68, 66, 64, 99, 141, 140, 138, 93, 55, 86, 84, 49, 79, 78, 76, 43, 69, 104, 102, 100, 143, 193, 192, 190, 137, 57, 54, 52, 25

Offset

0,3

Comments

The car starts at square 0 and thereafter moves, according to the rules of Racetrack with von Neumann neighborhood (see A351042), to the lowest numbered unvisited square. The spiral numbering is described in A316328. After 146 steps, the car cannot move to any unvisited square, so the sequence is finite with 147 terms.

Links

Pontus von Brömssen, Table of n, a(n) for n = 0..146

Pontus von Brömssen, Trajectory of the Racetrack car in A351043.

Wikipedia, Racetrack

Crossrefs

Cf. A316328, A351042.

Sequence in context: A097658 A067725 A213903 * A001106 A023551 A022787

Adjacent sequences: A351040 A351041 A351042 * A351044 A351045 A351046

Keyword

nonn,fini,full

Author

Pontus von Brömssen, Jan 30 2022

Status

approved