The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A105584 Fixed point of the morphism 1 -> 34, 2 -> 32, 3 -> 12, 4 -> 14, starting from a(0) = 1. 0
 1, 2, 1, 4, 1, 2, 3, 2, 1, 2, 1, 4, 3, 4, 1, 4, 1, 2, 1, 4, 1, 2, 3, 2, 3, 4, 3, 2, 1, 2, 3, 2, 1, 2, 1, 4, 1, 2, 3, 2, 1, 2, 1, 4, 3, 4, 1, 4, 3, 4, 3, 2, 3, 4, 1, 4, 1, 2, 1, 4, 3, 4, 1, 4, 1, 2, 1, 4, 1, 2, 3, 2, 1, 2, 1, 4, 3, 4, 1, 4, 1, 2, 1, 4, 1, 2, 3, 2, 3, 4, 3, 2, 1, 2, 3, 2, 3, 4, 3, 2, 3, 4, 1, 4, 3 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS A triangle space fill substitution: characteristic polynomial:x^4-2*x^3-2*x^2-4*x. This triangle set was obtained by shifting the Heighway's dragon matrix about: M(Heighways's)={{1, 1, 0, 0}, {0, 1, 1, 0}, {0, 0, 1, 1}, {1, 0, 0, 1}} M(triangle)={{0, 0, 1, 1}, {0, 1, 1, 0}, {1, 1, 0, 0}, {1, 0, 0, 1}} This result is a permutation of the rows of the matrix. I have obtained three triangle sets and two Heighway's sets by experiments like these. LINKS F. M. Dekking, Recurrent Sets, Advances in Mathematics, vol. 44, no.1, April 1982, page 96, section 4.11. MATHEMATICA Flatten[ Nest[ Flatten[ # /. {1 -> {3, 4}, 2 -> {3, 2}, 3 -> {1, 2}, 4 -> {1, 4}} &], {1}, 8]] (* Robert G. Wilson v, May 07 2005 *) CROSSREFS Sequence in context: A181982 A070194 A323300 * A072064 A105498 A179289 Adjacent sequences:  A105581 A105582 A105583 * A105585 A105586 A105587 KEYWORD nonn AUTHOR Roger L. Bagula, May 03 2005 EXTENSIONS Edited by Robert G. Wilson v, May 07 2005 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 9 10:04 EDT 2021. Contains 343718 sequences. (Running on oeis4.)