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 A175336 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} 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 (list; graph; refs; listen; history; text; internal format)
 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 Cf. A175335 Sequence in context: A023861 A037345 A217278 * A259877 A182334 A051420 Adjacent sequences:  A175333 A175334 A175335 * A175337 A175338 A175339 KEYWORD base,nonn AUTHOR Leroy Quet, Apr 14 2010 EXTENSIONS Missing term 255 and many more terms added by Max Alekseyev, Jun 13 2011 STATUS approved

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Last modified August 9 04:39 EDT 2020. Contains 336319 sequences. (Running on oeis4.)