A323179 Triangle read by rows giving successive states of cellular automaton generated by "Rule 30", with accumulating cell values

1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 3, 0, 2, 1, 1, 1, 1, 4, 0, 0, 3, 0, 0, 0, 1, 1, 5, 0, 4, 3, 3, 3, 0, 1, 1, 1, 1, 6, 0, 0, 7, 0, 0, 0, 0, 2, 0, 0, 1, 1, 7, 0, 6, 7, 7, 7, 0, 0, 2, 2, 2, 1, 1, 1, 1, 8, 0, 0, 13, 0, 0, 0, 7, 2, 4, 0, 0, 0, 0, 0

Offset

0,6

Comments

First take the sum of the values of the left neighbor, the cell itself, and the right neighbor. The next value of the cell will equal this sum if the value of the left neighbor is zero, or if the cell and its right neighbor are both zero.

In other cases the next value of the cell will be zero.

The pattern of nonzero cells is the same as the rule 30 CA (A070950), but the cell values grow as the CA progresses.

Links

Table of n, a(n) for n=0..79.

Nathan M Epstein, Color visualization of A323179

Example

Triangle begins:
              1
           1, 1, 1
        1, 2, 0, 0, 1
     1, 3, 0, 2, 1, 1, 1
  1, 4, 0, 0, 3, 0, 0, 0, 1

Crossrefs

Min(a(n), 1) = A070950(n).

Sequence in context: A025881 A039804 A277537 * A320508 A164925 A334546

Adjacent sequences: A323176 A323177 A323178 * A323180 A323181 A323182

Keyword

nonn,tabf

Author

Nathan M Epstein, Jan 10 2019

Status

approved