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 A266899 Total number of ON (black) cells after n iterations of the "Rule 75" elementary cellular automaton starting with a single ON (black) cell. 1
 1, 2, 5, 9, 14, 19, 24, 33, 40, 50, 58, 72, 82, 99, 109, 127, 140, 159, 173, 197, 214, 241, 256, 284, 303, 336, 350, 389, 411, 446, 470, 506, 532, 572, 596, 646, 673, 715, 747, 795, 825, 882, 911, 967, 1003, 1061, 1099, 1157, 1191, 1261, 1293, 1361, 1406 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 REFERENCES S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55. LINKS Robert Price, Table of n, a(n) for n = 0..1000 Eric Weisstein's World of Mathematics, Elementary Cellular Automaton S. Wolfram, A New Kind of Science MATHEMATICA rule=75; 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 *) nbc=Table[Total[catri[[k]]], {k, 1, rows}]; (* Number of Black cells in stage n *) Table[Total[Take[nbc, k]], {k, 1, rows}] (* Number of Black cells through stage n *) CROSSREFS Cf. A266892. Sequence in context: A161767 A235333 A060139 * A112265 A025281 A160663 Adjacent sequences:  A266896 A266897 A266898 * A266900 A266901 A266902 KEYWORD nonn,easy AUTHOR Robert Price, Jan 05 2016 STATUS approved

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Last modified June 1 09:27 EDT 2020. Contains 334759 sequences. (Running on oeis4.)