A182623 Numbers n with property that there is a number m such that if we concatenate the binary representations of the divisors of m in increasing order we get the binary representation of n.

1, 6, 7, 13, 15, 27, 29, 49, 51, 52, 55, 61, 63, 101, 105, 107, 111, 117, 121, 123, 125, 195, 199, 201, 207, 211, 217, 222, 225, 229, 231, 235, 237, 241, 255, 387, 393, 395, 405, 407, 413, 419, 423, 429, 435, 437, 441, 447, 449, 453, 455, 467, 479, 483, 485, 489, 495, 497, 507, 769, 775, 781, 783, 789

Offset

1,2

Comments

Numbers of A182622 in increasing order (without repetitions).

Links

Table of n, a(n) for n=1..64.

Example

858 written in base 2 is 1101011010. The string "1101011010" may be broken up into four parts (1, 10, 101, 1010) that are also the binary representations of a sequence of numbers in increasing order: 1, 2, 5, 10. These numbers are the divisors of 10. Then 858 is in the sequence.

Crossrefs

Cf. A007088, A027750, A182620, A182621, A182622, A182624.

Sequence in context: A348368 A277137 A047335 * A127020 A154662 A277567

Adjacent sequences: A182620 A182621 A182622 * A182624 A182625 A182626

Keyword

nonn,base

Author

Omar E. Pol, Nov 23 2010

Status

approved