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A059835 Form triangle as follows: start with three single digits: 0, 1, 2. Each succeeding row is a concatenation of the previous three rows. 1
0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Trajectory of 0 under the morphism 0 -> 1, 1-> 2, 2 -> 012. - Robert G. Wilson v, May 20 2014

The sequence of row lengths is A000213. - Michael Somos, May 22 2014

REFERENCES

C. Pickover, Wonders of Numbers, Oxford University Press, NY, 2001, p. 273.

LINKS

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

C. A. Pickover, "Wonders of Numbers, Adventures in Mathematics, Mind and Meaning," Zentralblatt review

Index entries for sequences that are fixed points of mappings

EXAMPLE

Triangle begins

0

1

2

0 1 2

1 2 0 1 2

2 0 1 2 1 2 0 1 2

MAPLE

T:= proc(n) option remember;

      `if`(n<3, n, seq(T(i), i=n-3..n-1))

    end:

seq(T(n), n=0..10);  # Alois P. Heinz, May 22 2014

MATHEMATICA

NestList[ Flatten[# /. {0 -> {1}, 1 -> {2}, 2 -> {0, 1, 2}}] &, {0}, 8] // Flatten (* Robert G. Wilson v, May 20 2014 *)

CROSSREFS

Cf. A059832.

Sequence in context: A092130 A029298 A262520 * A274659 A274661 A225089

Adjacent sequences:  A059832 A059833 A059834 * A059836 A059837 A059838

KEYWORD

easy,nonn,tabf,base

AUTHOR

Jason Earls, Feb 25 2001

EXTENSIONS

More terms from Larry Reeves (larryr(AT)acm.org), Feb 26 2001

STATUS

approved

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Last modified November 29 06:32 EST 2021. Contains 349416 sequences. (Running on oeis4.)