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A265318 Fibonacci word fractal in an n X n grid, starting downwards from the top-left corner, listed antidiagonally. 1

%I

%S 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,

%T 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,

%U 15,0,0,25,27,0,0,0,0,0,0,0,0,0,0,0,28,83

%N Fibonacci word fractal in an n X n grid, starting downwards from the top-left corner, listed antidiagonally.

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

%C 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.

%H Max Barrentine, <a href="/A265318/b265318.txt">Table of n, a(n) for n = 1..2484</a>

%H Alexis Monnerot-Dumaine, <a href="https://hal.archives-ouvertes.fr/hal-00367972">The Fibonacci Word fractal</a>, HAL Id: hal-00367972, 2009.

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

%e 1 0 5 6 7

%e 2 3 4 0 8

%e 0 0 0 10 9

%e 0 0 0 11 0

%e 0 0 0 12 13

%e 20 19 18 0 14

%e 21 0 17 16 15

%e 22 23 0 0 0

%e 0 24 0 0 0

%e 26 25 0 0 0

%e 27 0 31 32 33

%e 28 29 30 0 34

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

%K nonn,tabl

%O 1,3

%A _Max Barrentine_, Dec 06 2015

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Last modified May 25 12:30 EDT 2019. Contains 323568 sequences. (Running on oeis4.)