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A265281
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Decimal representation of the n-th iteration of the "Rule 86" elementary cellular automaton starting with a single ON (black) cell.
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9
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1, 7, 19, 123, 275, 1915, 4627, 32379, 67347, 463739, 1276435, 8001147, 18245395, 124220283, 309475859, 2134808187, 4354074387, 30225757051, 82642024979, 530573137531, 1175676118803, 8199373878139, 19977819994643, 139441424012923, 286691477808915
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OFFSET
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0,2
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COMMENTS
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Also, the decimal representation of the n-th generation of the "Rule 859583292" 5-neighbors elementary cellular automaton starting with a single ON (black) cell. - Philipp O. Tsvetkov, Jul 17 2019
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REFERENCES
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S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.
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LINKS
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FORMULA
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a(0) = 1, for n >= 1, a(n) = A269161(a(n-1)).
a(n) = A030101(A110240(n)). [The rule 86 is the mirror image of the rule 30.]
(End)
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MATHEMATICA
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rule = 86; rows = 30; Table[FromDigits[Table[Take[CellularAutomaton[rule, {{1}, 0}, rows-1, {All, All}][[k]], {rows-k+1, rows+k-1}], {k, 1, rows}][[k]], 2], {k, 1, rows}]
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PROG
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(Scheme, with memoization-macro definec)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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