A165819 a(n) = the smallest positive integer that, when written in binary, contains both binary n and binary 2n-1 as substrings.

1, 6, 11, 28, 37, 22, 29, 120, 137, 83, 43, 92, 205, 59, 61, 496, 529, 291, 595, 167, 169, 86, 183, 376, 793, 410, 437, 220, 925, 123, 125, 2016, 2081, 1091, 2211, 583, 293, 1227, 2471, 2536, 2601, 339, 171, 2796, 729, 366, 751, 1520, 3121, 1586, 1637, 1652

Offset: 1

Author

Leroy Quet, Sep 28 2009

Keywords

• base
• nonn

Comments

If a(n) in binary was instead to contain binary n and binary 2n+1 as substrings, then a(n) would = 2n+1 for all n.

Links

• Rémy Sigrist, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A165820, A165821, A165822, A294977.

Formula

a(n) = A294977(n, 2*n-1). - Rémy Sigrist, Mar 03 2018

Extensions

More terms from Carl R. White, Oct 06 2009