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 A334485 a(n) is the X-coordinate of the n-th point of Gosper's flowsnake curve; sequence A334486 gives Y-coordinates. 4
 0, 1, 1, 0, -1, 0, 1, 2, 3, 3, 3, 2, 2, 1, 1, 0, -1, -2, -1, 0, 0, -1, -2, -3, -2, -2, -3, -4, -4, -3, -3, -4, -5, -4, -3, -2, -1, -1, -2, -3, -2, -1, 0, 0, 1, 2, 2, 1, 2, 3, 4, 4, 3, 2, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 5, 4, 4, 3, 3, 2, 1, 0, 1, 2, 2, 1, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,8 COMMENTS Coordinates are given on a hexagonal lattice with X-axis and Y-axis as follows:            Y           /          /         0 ---- X The Gosper curve can be represented using an L-system. LINKS Rémy Sigrist, Table of n, a(n) for n = 0..2401 Rémy Sigrist, Colored scatterplot of the first 7^7+1 points of the Gosper curve (where the hue is function of the number of steps from the origin; the origin is located on the right side, at the black mark) Rémy Sigrist, PARI program for A334485 Wikipedia, Gosper curve EXAMPLE The Gosper curve starts (on a hexagonal lattice) as follows:      .   .   .   .   .   +---+---+   .   .   .   .                           \       \        .   .   +---+---+   +---+   +   .   .   .   .                 \       \     /   /      .   .   .   +---+   +---+   +   +---+   .   .                     /             \   \   \        .   .   +---+   +---+---+   +   +   +   .   .               /         \       \   \ /    49      .   .   +   +---+   +---+   +   +   .   .   .               \   \   \     /   /        .   .   +   +   +---+   +   +---+   .   .   .                 \ /             \ /   /10      .   .   .   +   +---+---+   +   +   .   .   .                  25   \       \     /9        .   .   .   .   +---+   +---+   .   .   .   .                           /    7   8      .   .   .   .   +---+   .   .   .   .   .   .                      0   1 - hence a(8) = a(9) = a(10) = a(50) = 3. PROG (PARI) See Links section. CROSSREFS Cf. A334486 (Y coordinate), A229214 (directions +-1,2,3), A261180 (directions 0..5). Sequence in context: A098418 A128080 A062187 * A031283 A293229 A185437 Adjacent sequences:  A334482 A334483 A334484 * A334486 A334487 A334488 KEYWORD sign,look AUTHOR Rémy Sigrist, May 03 2020 STATUS approved

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Last modified April 20 11:43 EDT 2021. Contains 343135 sequences. (Running on oeis4.)