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Search: id:A089650
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| 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Partial sums, modulo 3, of the sequence : a(1)=1, a(1), a(1), a(1), a(2), a(2), a(2), a(3), a(3), ... each term repeated 3 times.
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FORMULA
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A fixed point of the morphism 1->120, 2->102, 0->111.
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MATHEMATICA
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Nest[ Function[ l, {Flatten[(l /. {0 -> {1, 1, 1}, 1 -> {1, 2, 0}, 2 -> {1, 0, 2}})]}], {0}, 5] (from Robert G. Wilson v Feb 26 2005)
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PROGRAM
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(PARI) a(n)=if(n<2, 1, (a(n-1)+a(floor((n+1)/3)))%3)
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CROSSREFS
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Sequence in context: A127505 A138036 A086372 this_sequence A085513 A117054 A036579
Adjacent sequences: A089647 A089648 A089649 this_sequence A089651 A089652 A089653
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KEYWORD
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easy,nonn
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AUTHOR
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DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Jan 02 2004
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