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

Author

Felix Fröhlich, May 05 2014

Keywords

• nonn
• base

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.

Crossrefs

Cf. A242139.

Programs

PARI

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

Extensions

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