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A265318 Fibonacci word fractal in an n X n grid, starting downwards from the top-left corner, listed antidiagonally. 1
1, 0, 2, 5, 3, 0, 6, 4, 0, 0, 7, 0, 0, 0, 0, 0, 8, 10, 0, 0, 20, 0, 0, 9, 11, 0, 19, 21, 0, 0, 0, 0, 12, 18, 0, 22, 0, 0, 0, 0, 13, 0, 17, 23, 0, 0, 0, 0, 0, 0, 14, 16, 0, 24, 26, 0, 0, 0, 0, 0, 0, 15, 0, 0, 25, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 83 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

The n-th iteration of this curve ends at the n-th Fibonacci number.

As this is not a space-filling curve, not all points on the grid are reached by the curve; these points are given the value 0.

LINKS

Max Barrentine, Table of n, a(n) for n = 1..2484

Alexis Monnerot-Dumaine, The Fibonacci Word fractal, HAL Id: hal-00367972, 2009.

EXAMPLE

The top left corner of the array shows how this curve begins (connect the terms in numerical order):

   1   0   5   6   7

   2   3   4   0   8

   0   0   0  10   9

   0   0   0  11   0

   0   0   0  12  13

  20  19  18   0  14

  21   0  17  16  15

  22  23   0   0   0

   0  24   0   0   0

  26  25   0   0   0

  27   0  31  32  33

  28  29  30   0  34

CROSSREFS

See also A163357, A163334, and A054238 for other fractal curves.

Sequence in context: A011035 A102892 A132898 * A279536 A269954 A234255

Adjacent sequences:  A265315 A265316 A265317 * A265319 A265320 A265321

KEYWORD

nonn,tabl

AUTHOR

Max Barrentine, Dec 06 2015

STATUS

approved

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Last modified April 18 08:37 EDT 2019. Contains 322209 sequences. (Running on oeis4.)