A106593 Irregular triangle read by rows generated by the morphism 1->456, 2->4, 3->5, 4->2, 5->3, 6->123 starting from a(0)=1.

1, 4, 5, 6, 2, 3, 1, 2, 3, 4, 5, 4, 5, 6, 4, 5, 2, 3, 2, 3, 1, 2, 3, 2, 3, 4, 5, 4, 5, 4, 5, 6, 4, 5, 4, 5, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 2, 3, 4, 5, 4, 5, 4, 5, 4, 5, 6, 4, 5, 4, 5, 4, 5, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 2, 3, 2, 3, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 6, 4, 5, 4, 5, 4, 5, 4, 5, 2, 3, 2, 3, 2

Offset

0,2

Comments

Triangle begin:

1;

4, 5, 6;

2, 3, 1, 2, 3;

4, 5, 4, 5, 6, 4, 5;

2, 3, 2, 3, 1, 2, 3, 2, 3;

4, 5, 4, 5, 4, 5, 6, 4, 5, 4, 5;

...

Links

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

Curtis T. McMullen, Prym varieties and Teichmüller curves, Duke Math. J. 133(3) (2006), 569-590.

Mathematica

n0=6 n=1 s[1] = {4, 5, 6}; s[2] = Table[If[i <= n, 4, {}], {i, 1, n0}]; s[3] = Table[If[i <= n, 5, {}], {i, 1, n0}]; s[4] = Table[If[i <= n, 2, {}], {i, 1, n0}]; s[5] = Table[If[i <= n, 3, {}], {i, 1, n0}]; s[6] = {1, 2, 3}; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]] aa = Table[p[i], {i, 0, 10}]; MatrixForm[aa] aaa = Flatten[aa]

Crossrefs

Sequence in context: A082486 A106591 A106592 * A276036 A305006 A338688

Adjacent sequences: A106590 A106591 A106592 * A106594 A106595 A106596

Keyword

nonn,changed

Author

Roger L. Bagula, May 10 2005

Extensions

Edited by Sean A. Irvine, Jun 08 2026

Status

approved