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A324274 a(n) is the number of squares visited by a single pawn move for an even square and a double pawn move for an odd square on a diagonally numbered board and moving to the lowest available unvisited square of different parity at each step from subsequent starting squares n; or a(n) = 0 for an infinite length. 4
20, 0, 8, 17, 6, 9, 4, 7, 0, 11, 16, 5, 18, 0, 10, 19, 8, 19, 8, 11, 12, 25, 6, 9, 6, 9, 0, 13, 24, 7, 20, 7, 20, 0, 12, 15, 24, 21, 26, 21, 10, 21, 10, 13, 14, 27, 8, 27, 8, 11, 8, 11, 0, 15, 16, 33, 22, 9, 22, 9, 22, 9, 22, 0, 14, 17, 32, 23 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
It is conjectured that all starting squares will either have a finite length or reach the top row of the board at square 2 first and then follow the sequence for a(2) to infinity. A324275 contains numbers n for which A324274(n) = 0.
LINKS
EXAMPLE
a(1) is the length of A324273. a(2) has an infinite length as it will follow a repeating pattern along the top row of the numbered board.
CROSSREFS
Sequence in context: A221873 A278073 A365912 * A070708 A370308 A200430
KEYWORD
nonn
AUTHOR
Jan Koornstra, Feb 20 2019
STATUS
approved

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Last modified June 19 00:22 EDT 2024. Contains 373492 sequences. (Running on oeis4.)