A265156 Decimal representation of the n-th iteration of the "Rule 73" elementary cellular automaton starting with a single ON (black) cell.

1, 0, 21, 0, 381, 136, 5189, 544, 94493, 43176, 1311749, 254944, 24400989, 10617384, 336720133, 59386080, 6262162781, 2688081960, 86425034501, 15602819808, 1602324730205, 689510189096, 22111597905669, 4029655427808, 410123492458845, 176987155003432, 5661487452198661, 1029729726008032, 104994856690270557, 45284638610044968

Offset: 0

Author

Robert Price, Dec 02 2015

Keywords

• nonn
• easy

Examples

			From _Michael De Vlieger_, Dec 04 2015: (Start)
First 12 rows, showing surrounding context at left, cells generated by the initial cell at center, and the decimal equivalent at right where leading zeros are lost:
0                           1                         ->         1
1                         0 0 0                       ->         0
0                       1 0 1 0 1                     ->        21
1                     0 0 0 0 0 0 0                   ->         0
0                   1 0 1 1 1 1 1 0 1                 ->       381
1                 0 0 0 1 0 0 0 1 0 0 0               ->       136
0               1 0 1 0 0 0 1 0 0 0 1 0 1             ->      5189
1             0 0 0 0 0 1 0 0 0 1 0 0 0 0 0           ->       544
0           1 0 1 1 1 0 0 0 1 0 0 0 1 1 1 0 1         ->     94493
1         0 0 0 1 0 1 0 1 0 0 0 1 0 1 0 1 0 0 0       ->     43176
0       1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1     ->   1311749
1     0 0 0 0 0 1 1 1 1 1 0 0 0 1 1 1 1 1 0 0 0 0 0   ->    254944
0   1 0 1 1 1 0 1 0 0 0 1 0 1 0 1 0 0 0 1 0 1 1 1 0 1 ->  24400989
(End)
		

References

• S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.

Links

• Robert Price, Table of n, a(n) for n = 0..999
• Eric Weisstein's World of Mathematics, Elementary Cellular Automaton
• Index entries for sequences related to cellular automata
• Index to Elementary Cellular Automata

Crossrefs

Cf. A245549, A262448, A265122.

Programs

Mathematica

rule = 73; rows = 30; Table[FromDigits[Table[Take[CellularAutomaton[rule,{{1},0}, rows-1, {All,All}][[k]], {rows-k+1, rows+k-1}], {k,1,rows}][[k]],2], {k,1,rows}]