A265695 Triangle read by rows giving successive states of cellular automaton generated by "Rule 135" initiated with a single ON (black) cell.

1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1

Offset

0

Comments

Row n has length 2n+1.

Starting at row n=1 and shifting one cell to the right generates the complement of Rule 30.

References

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

Links

Robert Price, Table of n, a(n) for n = 0..9999

Eric Weisstein's World of Mathematics, Elementary Cellular Automaton

Index entries for sequences related to cellular automata

Index to Elementary Cellular Automata

Example

Triangle begins:
1;
1,1,0;
1,1,0,0,0;
1,1,0,0,1,1,0;
1,1,0,0,1,0,0,0,0;
...

Mathematica

rule = 135; rows = 20; Flatten[Table[Take[CellularAutomaton[rule, {{1}, 0}, rows-1, {All, All}][[k]], {rows - k + 1, rows + k - 1}], {k, 1, rows}]]

Crossrefs

Cf. A226463.

Sequence in context: A127243 A127248 A266298 * A116938 A105589 A359578

Adjacent sequences: A265692 A265693 A265694 * A265696 A265697 A265698

Keyword

nonn,tabf,easy

Author

Robert Price, Dec 13 2015

Status

approved