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A265122
Binary representation of the n-th iteration of the "Rule 73" elementary cellular automaton starting with a single ON (black) cell.
6
1, 0, 10101, 0, 101111101, 10001000, 1010001000101, 1000100000, 10111000100011101, 1010100010101000, 101000000010000000101, 111110001111100000, 1011101000101010001011101, 101000100000001000101000, 10100000100011111000100000101, 11100010100010100011100000
OFFSET
0,3
REFERENCES
S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.
EXAMPLE
From Michael De Vlieger, Dec 02 2015: (Start)
First 8 rows, showing surrounding context at left, cells generated by the initial cell at center, and the binary equivalent at right where leading zeros are lost:
0 1 -> 1
1 0 0 0 -> 0
0 1 0 1 0 1 -> 10101
1 0 0 0 0 0 0 0 -> 0
0 1 0 1 1 1 1 1 0 1 -> 101111101
1 0 0 0 1 0 0 0 1 0 0 0 -> 10001000
0 1 0 1 0 0 0 1 0 0 0 1 0 1 -> 1010001000101
1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 -> 1000100000
0 1 0 1 1 1 0 0 0 1 0 0 0 1 1 1 0 1 -> 10111000100011101
(End)
MATHEMATICA
rule = 73; rows = 20; Table[FromDigits[Table[Take[CellularAutomaton[rule, {{1}, 0}, rows-1, {All, All}][[k]], {rows-k+1, rows+k-1}], {k, 1, rows}][[k]]], {k, 1, rows}]
CROSSREFS
Cf. A245549.
Sequence in context: A267645 A267842 A193241 * A267146 A043641 A210890
KEYWORD
nonn,easy
AUTHOR
Robert Price, Dec 01 2015
STATUS
approved