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 A266298 Triangle read by rows giving successive states of cellular automaton generated by "Rule 14" initiated with a single ON (black) cell. 3
 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0 COMMENTS Row n has length 2n+1. This sequence is also generated by Rules 46, 142 and 174. 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 S. Wolfram, A New Kind of Science EXAMPLE The first ten rows:                   1                 1 1 0               1 1 0 0 0             1 1 0 0 0 0 0           1 1 0 0 0 0 0 0 0         1 1 0 0 0 0 0 0 0 0 0       1 1 0 0 0 0 0 0 0 0 0 0 0     1 1 0 0 0 0 0 0 0 0 0 0 0 0 0   1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 MATHEMATICA rule=14; rows=20; ca=CellularAutomaton[rule, {{1}, 0}, rows-1, {All, All}]; (* Start with single black cell *) catri=Table[Take[ca[[k]], {rows-k+1, rows+k-1}], {k, 1, rows}]; (* Truncated list of each row *) Flatten[catri] (* Triangle Representation of CA *) CROSSREFS Cf. A267006 (row reverse). Sequence in context: A165556 A127243 A127248 * A265695 A116938 A105589 Adjacent sequences:  A266295 A266296 A266297 * A266299 A266300 A266301 KEYWORD nonn,tabf,easy AUTHOR Robert Price, Dec 26 2015 STATUS approved

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Last modified August 13 02:09 EDT 2020. Contains 336441 sequences. (Running on oeis4.)