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A089650
a(n) = A089649(n) mod 3.
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, 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
OFFSET
1,2
COMMENTS
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.
FORMULA
A fixed point of the morphism 1->120, 2->102, 0->111.
MATHEMATICA
Nest[ Function[ l, {Flatten[(l /. {0 -> {1, 1, 1}, 1 -> {1, 2, 0}, 2 -> {1, 0, 2}})]}], {0}, 5] (* Robert G. Wilson v, Feb 26 2005 *)
PROG
(PARI) a(n)=if(n<2, 1, (a(n-1)+a(floor((n+1)/3)))%3)
CROSSREFS
Sequence in context: A339737 A364916 A365923 * A085513 A362913 A259965
KEYWORD
easy,nonn
AUTHOR
Philippe Deléham, Jan 02 2004
STATUS
approved