A092606 Fixed point of the morphism 0 -> 021, 1 -> 0, 2 -> 0; starting with a(1) = 0.

0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0

Offset: 1

Author

Philippe Deléham, Apr 11 2004

Keywords

• easy
• nonn

Comments

To construct the sequence, start from the Feigenbaum sequence A035263 = 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, ..., then change 0 -> 2, 1 and 1 -> 0. - Philippe Deléham, Apr 12 2004

Links

• Index entries for sequences that are fixed points of mappings

Crossrefs

Cf. A003156, A003157, A003158.

Programs

Mathematica

Nest[ Function[ l, {Flatten[(l /. {0 -> {0, 2, 1}, 1 -> {0}, 2 -> {0}})]}], {0}, 6] (* Robert G. Wilson v, Mar 03 2005 *)

Formula

a(n) = 0 for n in A003156; a(n) = 1 for n in A003157; a(n) = 2 for n in A003158.