A080586 A run of 3*2^n 1's followed by a run of 3*2^n 2's, for n=0, 1, 2, ...

1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1

Offset: 0

Author

N. J. A. Sloane, Feb 23 2003

Keywords

• nonn

Crossrefs

Cf. A079948, A080587.

Equals 1 + A080584.

Programs

Maple

f := (c,n)->seq(c,i=1..3*2^n); [f(1,0),f(2,0),f(1,1),f(2,1),f(1,2),f(2,2),f(1,3),f(2,3)]; f;

Mathematica

Flatten[Table[{PadRight[{},3*2^n,1],PadRight[{},3*2^n,2]},{n,0,4}]] (* Harvey P. Dale, May 04 2014 *)

Formula

a(n) = ( 3 - (-1)^A079944(A002264(n)) )/2, A079944(A002264(n))=floor(log[2](4*(floor((n+6)/3))/3)) - floor(log[2](floor((n+6)/3))) - Antonio G. Astudillo (afg_astudillo(AT)hotmail.com), Feb 24 2003

Also a(n) = 1+A079944(A002264(n))=floor(log[2](8*(floor((n+6)/3))/3)) - floor(log[2](floor((n+6)/3))) - Antonio G. Astudillo (afg_astudillo(AT)hotmail.com), Feb 24 2003