A105698 Fixed point of morphism 1->{1, 4, 2, 1}, 2->{2, 1, 3, 2}, 3->{3, 2, 4, 3}, 4->{4, 1, 3, 4}.

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

Offset

0,2

Links

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

F. M. Dekking, Recurrent sets, Advances in Mathematics, vol. 44, no. 1 (1982), 78-104; page 85, section 4.1.

Formula

a(4n-3) = a(4n) = a(n).

Mathematica

s[1] = {1, 4, 2, 1}; s[2] = {2, 1, 3, 2}; s[3] = {3, 2, 4, 3}; s[4] = {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: A326485 A023528 A236308 * A105699 A023526 A082901

Adjacent sequences: A105695 A105696 A105697 * A105699 A105700 A105701

Keyword

nonn

Author

Roger L. Bagula, May 04 2005

Status

approved