A105244 Functional substitution on {1,2,3}.

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

Offset

1,2

Comments

Based on a prime digits function modulo 10, reduced here to modulo 3.

Appears to be 12-periodic for n>3.

Links

Table of n, a(n) for n=1..105.

Formula

ar={1, 2, 3} a(n)=b(m, i) = 1 + Mod[ar[[i]]*(1 + Mod[m, 3]), 3]

Mathematica

ar = {1, 2, 3} f[n_] := 1 + Mod[ar*(1 + Mod[n, 3]), 3] br = NestList[f, ar, Floor[200/3]] a = Flatten[br]

Crossrefs

Sequence in context: A005135 A290003 A139460 * A257451 A209007 A145854

Adjacent sequences: A105241 A105242 A105243 * A105245 A105246 A105247

Keyword

nonn,uned

Author

Roger L. Bagula, Apr 12 2005

Status

approved