A106437 Fixed point of the morphism 1->4, 2->1222, 3->2, 4->3444, applied 4*k times to 4.

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

Offset

0,1

Links

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

Formula

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

Mathematica

s[1] = {4}; s[2] = {1, 2, 2, 2}; s[3] = {2}; s[4] = {3, 4, 4, 4}; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]] aa = p[5]

Crossrefs

Cf. A001906, A006190.

Sequence in context: A112621 A081448 A322906 * A279605 A054713 A371853

Adjacent sequences: A106434 A106435 A106436 * A106438 A106439 A106440

Keyword

nonn,easy,less

Author

Roger L. Bagula, May 29 2005

Extensions

New name from Joerg Arndt, Nov 07 2016

Status

approved