A321104 Sequence generated by: a(3*n) = 1, a(3*n+2) = 2 - a(3*n+1), a(9*n+1) = 0, a(9*n+7) = 2, a(9*n+4) = 2 - a(3*n+1), for n >= 0.

1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2

Offset

0,3

Links

Table of n, a(n) for n=0..200.

Formula

FORMULA FOR TERMS: for n >= 0,

(1) a(3*n) = 1,

(2) a(3*n+2) = 2 - a(3*n+1),

(3) a(9*n+1) = 0,

(4) a(9*n+7) = 2,

(5) a(9*n+4) = 2 - a(3*n+1).

Prog

(PARI) /* Using formula for terms */
{a(n) =
if(n%3==0, 1,
if(n%3==2, 2 - a(n-1),
if(n%9==1, 0,
if(n%9==7, 2,
if(n%9==4, 2 - a((n-1)/3) )))))}
for(n=0, 200, print1(a(n), ", "))

Crossrefs

Sequence in context: A277729 A057985 A135387 * A127442 A357524 A115628

Adjacent sequences: A321101 A321102 A321103 * A321105 A321106 A321107

Keyword

nonn

Author

Paul D. Hanna, Nov 25 2018

Status

approved