

A248056


Positions of 0,0 in the ThueMorse sequence (A010060).


4



6, 10, 18, 24, 30, 34, 40, 46, 54, 58, 66, 72, 78, 86, 90, 96, 102, 106, 114, 120, 126, 130, 136, 142, 150, 154, 160, 166, 170, 178, 184, 190, 198, 202, 210, 216, 222, 226, 232, 238, 246, 250, 258, 264, 270, 278, 282, 288, 294, 298, 306, 312, 318, 326, 330
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OFFSET

1,1


COMMENTS

Every positive integer lies in exactly one of these four sequences: A248056, A091855, A091855, A248057.


LINKS

Clark Kimberling, Table of n, a(n) for n = 1..1000


FORMULA

a(n) = 2*A091785(n) for n >= 1.


EXAMPLE

ThueMorse sequence: 0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,..., so that a(1) = 6 and a(2) = 10.


MATHEMATICA

z = 400; u = Nest[Flatten[# /. {0 > {0, 1}, 1 > {1, 0}}] &, {0}, 9] (* A010060 *)
v = Rest[u]
t1 = Table[If[u[[n]] == 0 && v[[n]] == 0, 1, 0], {n, 1, z}];
t2 = Table[If[u[[n]] == 0 && v[[n]] == 1, 1, 0], {n, 1, z}];
t3 = Table[If[u[[n]] == 1 && v[[n]] == 0, 1, 0], {n, 1, z}];
t4 = Table[If[u[[n]] == 1 && v[[n]] == 1, 1, 0], {n, 1, z}];
Flatten[Position[t1, 1]] (* A248056 *)
Flatten[Position[t2, 1]] (* A091855 *)
Flatten[Position[t3, 1]] (* A091785 *)
Flatten[Position[t4, 1]] (* A248057 *)


CROSSREFS

Cf. A010060, A091855, A091785, A248057.
Sequence in context: A315364 A315365 A315366 * A032641 A293555 A169873
Adjacent sequences: A248053 A248054 A248055 * A248057 A248058 A248059


KEYWORD

nonn,easy


AUTHOR

Clark Kimberling, Sep 30 2014


STATUS

approved



