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 A262155 Lexicographically earliest sequence of distinct positive integers such that for any n>0, n and a(n) have no common 1-bit in their binary representations, and no two successive terms have a common 1-bit in their binary representations. 2
 2, 1, 4, 3, 8, 16, 32, 5, 18, 33, 20, 34, 64, 17, 96, 6, 40, 65, 12, 35, 72, 128, 104, 7, 160, 68, 256, 66, 288, 129, 320, 9, 22, 73, 132, 10, 80, 136, 272, 67, 144, 69, 384, 19, 192, 257, 208, 11, 196, 264, 512, 74, 640, 265, 576, 130, 260, 193, 516, 131, 768 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS This sequence combines the constraints met in A109812 and in A238757. This sequence is a permutation of the positive integers, with inverse A262230. LINKS Paul Tek, Table of n, a(n) for n = 1..100000 Paul Tek, PERL program for this sequence EXAMPLE For n=5: - the values 2, 1, 4 and 3 have already been used; - we have the following candidates: +---+--------+-------------+---------------+ | z | Binary | Common bits |  Common bits  | |   | digits |   with 5    | with a(5-1)=3 | +---+--------+-------------+---------------+ | 5 |    101 |         101 |             1 | | 6 |    110 |         100 |            10 | | 7 |    111 |         101 |            11 | | 8 |   1000 |           0 |             0 | |...|    ... |         ... |           ... | +---+--------+-------------+---------------+ Hence, a(5)=8. PROG (Perl) See Links section. CROSSREFS Cf. A109812, A238757, A262230. Sequence in context: A114438 A238757 A262230 * A181882 A109195 A258310 Adjacent sequences:  A262152 A262153 A262154 * A262156 A262157 A262158 KEYWORD nonn,base AUTHOR Paul Tek, Sep 13 2015 STATUS approved

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Last modified October 15 11:03 EDT 2018. Contains 316224 sequences. (Running on oeis4.)