A105699 Duplicate of A105698.

1, 4, 2, 1, 4, 1, 3, 4, 2, 1, 3, 2, 1, 4, 2, 1, 4, 1, 3, 4, 1, 4, 2, 1, 3, 2, 4, 3, 4, 1, 3, 4, 2, 1, 3, 2, 3, 2, 4, 3, 1, 4, 2, 1, 2, 1, 3, 2, 1, 4, 2, 1, 4, 1, 3, 4, 2, 1, 3, 2, 1, 4, 2, 1, 4, 1, 3, 4, 1, 4, 2, 1, 3, 2, 4, 3, 4, 1, 3, 4, 1, 4, 2, 1, 4, 1, 3, 4, 2, 1, 3, 2, 1, 4, 2, 1, 3, 2, 4, 3, 4, 1, 3, 4, 2

Offset

0,2

Comments

One symbol per substitution added symmetrically to Dekking's Peano set with order reversed permutation of substitutions.

Links

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

F. M. Dekking, Recurrent Sets, Advances in Mathematics, vol. 44, no.1, April 1982, page 85, section 4.1

Formula

4->{1, 4, 2, 1}, 3->{2, 1, 3, 2}, 2->{3, 2, 4, 3}, 1->{4, 1, 3, 4}

Mathematica

s[4] = {1, 4, 2, 1}; s[3] = {2, 1, 3, 2}; s[2] = {3, 2, 4, 3}; s[1] = {4, 1, 3, 4}; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]] aa = p[4]

Crossrefs

Sequence in context: A023528 A236308 A105698 * A023526 A082901 A136619

Adjacent sequences: A105696 A105697 A105698 * A105700 A105701 A105702

Keyword

dead

Author

Roger L. Bagula, May 04 2005

Status

approved