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 A094603 a(n) is the length of the maximal sequence of rightmost black cells in the n-th row of Rule 30 (begun from an initial black cell). 5
 1, 3, 1, 4, 1, 3, 1, 6, 1, 3, 1, 4, 1, 3, 1, 7, 1, 3, 1, 4, 1, 3, 1, 6, 1, 3, 1, 4, 1, 3, 1, 9, 1, 3, 1, 4, 1, 3, 1, 6, 1, 3, 1, 4, 1, 3, 1, 7, 1, 3, 1, 4, 1, 3, 1, 6, 1, 3, 1, 4, 1, 3, 1, 15, 1, 3, 1, 4, 1, 3, 1, 6, 1, 3, 1, 4, 1, 3, 1, 7, 1, 3, 1, 4, 1, 3, 1, 6, 1, 3, 1, 4, 1, 3, 1, 9, 1, 3, 1, 4, 1, 3, 1, 6, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS New numbers (A094604) in the sequence occur at positions 2^m. REFERENCES Wolfram, Stephen. A New Kind of Science, Wolfram Media, 2002. LINKS Michael De Vlieger, Table of n, a(n) for n = 1..10000 Eric Rowland, Local nested structure in rule 30, Complex Systems 16 (2006) 239-258. Eric Weisstein's World of Mathematics, Rule 30 EXAMPLE From Michael De Vlieger, Oct 06 2015: (Start) First 12 rows, replacing "0" with ".", ignoring "0" outside of range of 1's, for better visibility of ON cells, the number of contiguous rightmost black cells in each row appears at left: 1                          1 3                        1 1 1 1                      1 1 . . 1 4                    1 1 . 1 1 1 1 1                  1 1 . . 1 . . . 1 3                1 1 . 1 1 1 1 . 1 1 1 1              1 1 . . 1 . . . . 1 . . 1 6            1 1 . 1 1 1 1 . . 1 1 1 1 1 1 1          1 1 . . 1 . . . 1 1 1 . . . . . 1 3        1 1 . 1 1 1 1 . 1 1 . . 1 . . . 1 1 1 1      1 1 . . 1 . . . . 1 . 1 1 1 1 . 1 1 . . 1 4    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 rows = 105; ca = CellularAutomaton[30, {{1}, 0}, rows-1]; a[n_] := Length[ Last[ Split[ ca[[n, rows-n+1 ;; rows+n-1]]]]]; Table[ a[n], {n, 1, rows}] (* Jean-François Alcover, Oct 11 2012 *) Length /@ Map[Last, Split /@ CellularAutomaton[30, {{1}, 0}, 120] /. 0 -> Nothing /. {} -> Nothing] (* Michael De Vlieger, Oct 06 2015 *) CROSSREFS Cf. A007814, A094604. Sequence in context: A116992 A233267 A090740 * A165595 A213181 A301848 Adjacent sequences:  A094600 A094601 A094602 * A094604 A094605 A094606 KEYWORD easy,nice,nonn AUTHOR Eric Rowland, May 13 2004 STATUS approved

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Last modified September 21 13:37 EDT 2019. Contains 327253 sequences. (Running on oeis4.)