A107789 Trajectory of 2 under evenly many applications of the morphism 1 -> 2, 2 -> 114, 3 -> 4, 4 -> 233.

2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 2, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 2, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 3, 3, 2, 3

Offset: 0

Author

Roger L. Bagula, Jun 11 2005

Keywords

• nonn

Links

• Index entries for sequences that are fixed points of mappings

Crossrefs

Cf. A001045, A076662, A214333.

Programs

Mathematica

s[1] = {2}; s[2] = {1, 1, 4}; s[3] = {4}; s[4] = {2, 3, 3}; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]] aa = p[9]

Formula

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

Extensions

Edited by N. J. A. Sloane, Jul 26 2012