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Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!) A360171 a(n) is the Y-coordinate after n steps of an infinite knight's tour through all lattice points; see A360170 for the X-coordinates. 2 0, -2, -1, 1, 2, 1, -1, -2, 0, 2, 1, -1, -2, -1, 1, 2, 0, -1, -2, 0, 2, 1, 2, 0, -2, -4, -3, -4, -3, -1, 1, 3, 4, 3, 4, 3, 1, -1, -3, -4, -3, -4, -2, 0, 2, 4, 3, 4, 3, 1, -1, -3, -4, -3, -4, -3, -1, 1, 3, 4, 3, 4, 2, 0, -2, -3, -4, -3, -4, -2, 0, 2, 4, 3, 4, 3 (list; graph; refs; listen; history; text; internal format) OFFSET 0,2 COMMENTS See A068608 for similar sequences. LINKS Table of n, a(n) for n=0..75. Robert Bosch and Zejian Huang, Structured Knight’s Tours Mathematics StackExchange, Infinite Knight's Tour Rémy Sigrist, Illustration of the first steps (where colors denote the direction to the next position) Rémy Sigrist, PARI program Dan Thomasson, Knight's Tour Art Wikipedia, Knight's tour Wolfram Demonstrations Project, An Infinite Knight's Tour Index entries for sequences related to coordinates of 2D curves FORMULA a(n) = A274923(A068613(n+1)). EXAMPLE See illustration of the first steps in Links section. PROG (PARI) See Links section. CROSSREFS Cf. A068608, A068613, A274923, A360170. Sequence in context: A159704 A348194 A101428 * A348528 A307223 A321787 Adjacent sequences: A360168 A360169 A360170 * A360172 A360173 A360174 KEYWORD sign AUTHOR Rémy Sigrist, Jan 28 2023 STATUS approved

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Last modified August 18 20:21 EDT 2024. Contains 375276 sequences. (Running on oeis4.)