

A175336


a(1)=1. For n>1, a(n) equals the smallest number > a(n1) 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} or {}.


1



1, 3, 10, 15, 54, 63, 170, 255, 660, 693, 990, 1023, 3510, 4095, 13932, 14061, 16254, 16383, 43690, 65535, 174420, 174933, 261630, 262143, 676500, 710325, 1014750, 1048575, 2704680, 2706729, 2839914, 2841963, 4057020, 4059069, 4192254, 4194303
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OFFSET

1,2


COMMENTS

Each term of sequence A175335 exists in this sequence.


LINKS



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.
Letting j = the empty string instead, and keeping a(k) = 10, we have the concatenation 1010 U 1010, which is 10101010. This is 170 in decimal, so 170 is in this sequence.


CROSSREFS



KEYWORD

base,nonn


AUTHOR



EXTENSIONS

Missing term 255 and many more terms added by Max Alekseyev, Jun 13 2011


STATUS

approved



