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Search: id:A070950
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| A070950 |
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Triangle read by rows giving successive states of cellular automaton generated by "Rule 30". |
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+0
9
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| 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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If cell and right-hand neighbor are both 0 then new state of cell = state of left-hand neighbor; otherwise new state is complement of that of left-hand neighbor.
A simple rule which produces apparently random behavior. "... probably the single most surprising discovery I have ever made" - Stephen Wolfram.
Row n has length 2n+1.
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REFERENCES
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S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 27.
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LINKS
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N. J. A. Sloane, Illustration of initial terms
Eric Weisstein's World of Mathematics, Rule 30
Index entries for sequences related to cellular automata
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EXAMPLE
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1; 1,1,1; 1,1,0,0,1; 1,1,0,1,1,1,1; ...
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MATHEMATICA
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ArrayPlot[CellularAutomaton[30, {{1}, 0}, 50]] (N. J. A. Sloane, Aug 11 2009)
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CROSSREFS
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Cf. A070951, A070952, A051023.
Sequence in context: A143142 A111940 A129572 this_sequence A141679 A071027 A152904
Adjacent sequences: A070947 A070948 A070949 this_sequence A070951 A070952 A070953
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KEYWORD
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nonn,tabf,nice,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), May 19 2002
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EXTENSIONS
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More terms from Hans Havermann (pxp(AT)rogers.com), May 24 2002
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