A121806 Primes modulo three as two color partition maps { red, blue} of which there are four types:1-> {red, blue},2->{blue,red},3-> {red,red},4->{blue,blue}.

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

Offset

1,1

Comments

There are long runs of "1"'s.

Links

Table of n, a(n) for n=1..100.

Formula

a(n) = {1 + Mod[Prime[2*n-1], 3],1 + Mod[Prime[2*n], 3]/. {2, 3} -> 1 /. {3, 2} -> 2 /. { 2, 2} -> 3 /. {3, 3} -> 4

Mathematica

a = Partition[Table[1 + Mod[Prime[n], 3], {n, 3, 203}], 2] /. {2, 3} -> 1 /. {3, 2} -> 2 /. { 2, 2} -> 3 /. {3, 3} -> 4

Crossrefs

Sequence in context: A182154 A273875 A054709 * A056944 A283681 A222819

Adjacent sequences: A121803 A121804 A121805 * A121807 A121808 A121809

Keyword

nonn,uned

Author

Roger L. Bagula, Aug 29 2006

Status

approved