A242138 Binary representation of periodic binary numbers, ordered by their decimal values.

101, 1001, 1010, 10001, 10010, 10101, 11011, 100001, 100010, 100100, 101010, 101101, 110011, 110110, 1000001, 1000010, 1000100, 1001001, 1010101, 1100011, 1100110, 1110111, 10000001, 10000010, 10000100, 10001000, 10010010, 10011001, 10100101, 10101010

Offset

1,1

Comments

The numbers must contain both 0's and 1's.

Some of these numbers only become periodic if the leading zeros of their fundamental periods are appended to the front of their binary representations. For example, the first two terms are in this sequence, because with leading zeros they become 0101 and 001001, respectively.

Links

Table of n, a(n) for n=1..30.

Prog

(PARI) lista(nn) = for(n=1, nn, if (isA242139(n), print1(subst(Pol(binary(n), x), x, 10), ", ")); ); \\ Michel Marcus, Aug 25 2014

Crossrefs

Cf. A242139.

Sequence in context: A244369 A200733 A267002 * A171764 A164842 A082276

Adjacent sequences: A242135 A242136 A242137 * A242139 A242140 A242141

Keyword

nonn,base

Author

Felix Fröhlich, May 05 2014

Extensions

Inserted missing terms 1100011, 1100110, 1110111 and more terms, Michel Marcus, Aug 25 2014

Status

approved