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A324274
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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.
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4
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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
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OFFSET
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1,1
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COMMENTS
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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.
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LINKS
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EXAMPLE
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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.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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