A106686 Iterated expansion of the morphism 1->3, 2->1, 3->24, 4->6, 5->3, 6->78, 7->8, 8->6.

1, 3, 3, 2, 4, 3, 2, 4, 2, 4, 1, 6, 3, 2, 4, 2, 4, 1, 6, 2, 4, 1, 6, 1, 6, 3, 7, 8, 3, 2, 4, 2, 4, 1, 6, 2, 4, 1, 6, 1, 6, 3, 7, 8, 2, 4, 1, 6, 1, 6, 3, 7, 8, 1, 6, 3, 7, 8, 3, 7, 8, 2, 4, 8, 6, 3, 2, 4, 2, 4, 1, 6, 2, 4, 1, 6, 1, 6, 3, 7, 8, 2, 4, 1, 6, 1, 6, 3, 7, 8, 1, 6, 3, 7, 8, 3, 7, 8, 2, 4, 8, 6, 2, 4, 1

Offset

0,2

Comments

The morphism is applied repeated to the existing initial segment, see Example. - Sean A. Irvine, May 25 2026

Links

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

Example

Sequence begins: (1)(3)(324)(3242416)...

Mathematica

s[1] = {3}; s[2] = {1}; s[3] = {2, 4}; s[4] = {6}; s[5] = {3}; s[6] = {7, 8}; s[7] = {8}; s[8] = {6}; t[a_] := Join[a, Flatten[s /@ a]]; p[0] = {1}; p[1] = t[{1}]; p[n_] := t[p[n - 1]] aa = p[6]

Crossrefs

Sequence in context: A207335 A049604 A247509 * A106702 A303338 A390818

Adjacent sequences: A106683 A106684 A106685 * A106687 A106688 A106689

Keyword

nonn

Author

Roger L. Bagula, May 13 2005

Extensions

Edited by Sean A. Irvine, May 25 2026

Status

approved