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 A118102 Triangle read by rows giving successive states of cellular automaton generated by "Rule 94" initiated with a single ON (black) cell. 5
 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Totals for row k, starting with k = 0, are {1, 3, 4, 6, 6, 8, 8, 10, 10, 12, 12, ...}, i.e., {1, 3} followed by A052928(k + 3). - Michael De Vlieger, Oct 08 2015 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 Michael De Vlieger, Visualization of rows 0 - 31 of Rule 94 Eric Weisstein's World of Mathematics, Rule 94 Eric Weisstein's World of Mathematics, Elementary Cellular Automaton S. Wolfram, A New Kind of Science EXAMPLE From Michael De Vlieger, Oct 08 2015: (Start) First 12 rows, replacing "0" with ".", ignoring "0" outside of range of 1's for better visibility of ON cells:                         1                       1 1 1                     1 1 . 1 1                   1 1 1 . 1 1 1                 1 1 . 1 . 1 . 1 1               1 1 1 . 1 . 1 . 1 1 1             1 1 . 1 . 1 . 1 . 1 . 1 1           1 1 1 . 1 . 1 . 1 . 1 . 1 1 1         1 1 . 1 . 1 . 1 . 1 . 1 . 1 . 1 1       1 1 1 . 1 . 1 . 1 . 1 . 1 . 1 . 1 1 1     1 1 . 1 . 1 . 1 . 1 . 1 . 1 . 1 . 1 . 1 1   1 1 1 . 1 . 1 . 1 . 1 . 1 . 1 . 1 . 1 . 1 1 1 1 1 . 1 . 1 . 1 . 1 . 1 . 1 . 1 . 1 . 1 . 1 . 1 1 (End) MATHEMATICA clip[lst_] := Block[{p = Flatten@ Position[lst, 1]}, Take[lst, {Min@ p, Max@ p}]]; FromDigits[#, 2] & /@ Map[clip, CellularAutomaton[94, {{1}, 0}, 24]] ; clip /@ CellularAutomaton[94, {{1}, 0}, 9] // Flatten (* Michael De Vlieger, Oct 08 2015 *) CROSSREFS Cf. A052928. This sequence, A118101 and A071033 are equivalent descriptions of the Rule 94 automaton. Sequence in context: A071031 A141679 A152904 * A089509 A157972 A124897 Adjacent sequences:  A118099 A118100 A118101 * A118103 A118104 A118105 KEYWORD nonn,tabf AUTHOR Eric W. Weisstein, Apr 12 2006 STATUS approved

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