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A176405 Fixed point of morphism 0->0100110, 1->0110110 3
0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Also a(n) is the least significant nonzero digit in the radix-7 expansion of (n+1).

The sequence, interpreted as left/right turns by 120 degrees (each turn followed by a unit line in the current direction) defines a space-filling curve (called R7-dragon in the fxtbook, see link below).

Also sequence of zeros and ones by morphism F->F0F1F1F0F0F1F, 0->0, 1->1.

LINKS

Table of n, a(n) for n=0..104.

Joerg Arndt: Matters Computational (The Fxtbook) (section 1.31.5 "Dragon curves based on radix-R counting", pp. 95-101, image on p. 97).

MATHEMATICA

Nest[Flatten[#/.{0->{0, 1, 0, 0, 1, 1, 0}, 1->{0, 1, 1, 0, 1, 1, 0}}]&, 0, 3] (* Harvey P. Dale, Mar 27 2015 *)

CROSSREFS

Sequence in context: A079813 A078580 A059651 * A084091 A080846 A082401

Adjacent sequences:  A176402 A176403 A176404 * A176406 A176407 A176408

KEYWORD

nonn

AUTHOR

Joerg Arndt, Apr 16 2010

STATUS

approved

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Last modified June 25 02:50 EDT 2017. Contains 288708 sequences.