A175335 a(1)=1. For n>1, a(n) equals the smallest number > a(n-1) of the form a(k) U j U a(k) U j, where U represents concatenation (written in decimal) of the binary representation of the arguments, where 1 <= k < n, and j = {0} or {1}.

1, 10, 15, 660, 693, 990, 1023, 2704680, 2706729, 2839914, 2841963, 4057020, 4059069, 4192254, 4194303, 45377005980240, 45377014368849, 45411382499922, 45411390888531, 47645856279252, 47645864667861, 47680232798934, 47680241187543

Offset

1,2

Comments

Each term of this sequence exists in sequence A175336.

Links

Table of n, a(n) for n=1..23.

Example

10 (decimal), a term of the sequence, written in binary is 1010. Letting j={0}, we have that the decimal value of 1010 U 0 U 1010 U 0 = 1010010100, which is 660, is in the sequence.

Crossrefs

Cf. A175336

Sequence in context: A114703 A134515 A232608 * A167788 A341012 A072968

Adjacent sequences: A175332 A175333 A175334 * A175336 A175337 A175338

Keyword

base,nonn

Author

Leroy Quet, Apr 14 2010

Extensions

More terms from Max Alekseyev, Jun 13 2011

Status

approved