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 A100053 Maximum run of white (or OFF) cells in generation n of the Rule 30 elementary cellular automaton. 10
 0, 0, 2, 1, 3, 1, 4, 2, 5, 3, 4, 4, 3, 2, 4, 2, 6, 4, 4, 3, 5, 4, 4, 3, 5, 5, 4, 3, 4, 4, 4, 5, 8, 6, 5, 3, 5, 4, 5, 3, 5, 5, 5, 9, 7, 5, 11, 9, 7, 6, 8, 6, 4, 7, 5, 3, 5, 6, 5, 4, 4, 5, 5, 3, 14, 12, 10, 8, 6, 5, 4, 7, 5, 6, 4, 6, 4, 4, 6, 4, 6, 7, 5, 5, 4, 4, 11, 9, 7, 6, 4, 6, 7, 5, 7, 5, 8, 6, 5 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Michael De Vlieger, Table of n, a(n) for n = 0..5000 Eric Weisstein's World of Mathematics, Rule 30 EXAMPLE From Michael De Vlieger, Oct 06 2015: (Start) First 12 rows, replacing "1" with ".", ignoring "0" outside of range of 1's, for better visibility of OFF cells, maximum number of contiguous OFF cells in each row appears at left: 0                          . 0                        . . . 2                      . . 0 0 . 1                    . . 0 . . . . 3                  . . 0 0 . 0 0 0 . 1                . . 0 . . . . 0 . . . 4              . . 0 0 . 0 0 0 0 . 0 0 . 2            . . 0 . . . . 0 0 . . . . . . 5          . . 0 0 . 0 0 0 . . . 0 0 0 0 0 . 3        . . 0 . . . . 0 . . 0 0 . 0 0 0 . . . 4      . . 0 0 . 0 0 0 0 . 0 . . . . 0 . . 0 0 . 4    . . 0 . . . . 0 0 . . 0 . 0 0 0 0 . 0 . . . . 3  . . 0 0 . 0 0 0 . . . 0 0 . . 0 0 . . 0 . 0 0 0 . (End) MATHEMATICA clip[lst_] := Block[{p = Flatten@ Position[lst, 1]}, Take[lst, {Min@ p, Max@ p}]]; Max /@ Map[Length@ # &, Map[Split@ # &, Map[clip, CellularAutomaton[30, {{1}, 0}, 98]]] /. 1 -> Nothing, {2}] (* Michael De Vlieger, Oct 06 2015 *) CellularAutomaton[30, {{1}, 0}, 100]; (Reverse[Internal`DeleteTrailingZeros[       Reverse[Internal`DeleteTrailingZeros[#]]]]) & /@ %; Table[(Length /@ Select[%[[i]] // Split, Total[#] == 0 &] // Max), {i,     1, % // Length}] /. -\[Infinity] -> 0 (* Philipp O. Tsvetkov, Sep 25 2018 *) CROSSREFS Cf. A100054, A100055. Sequence in context: A323523 A124072 A189357 * A029194 A246582 A059499 Adjacent sequences:  A100050 A100051 A100052 * A100054 A100055 A100056 KEYWORD nonn AUTHOR Eric W. Weisstein, Oct 31 2004 STATUS approved

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Last modified September 16 15:58 EDT 2021. Contains 347473 sequences. (Running on oeis4.)