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 A352812 Lexicographically earliest sequence of distinct nonnegative integers such that for any n and k coprime the binary expansions of a(n) and a(k) have no common 1's. 1
 0, 1, 2, 4, 8, 3, 16, 5, 32, 9, 64, 6, 128, 17, 10, 256, 512, 7, 1024, 12, 18, 65, 2048, 33, 4096, 129, 34, 20, 8192, 11, 16384, 257, 66, 260, 24, 35, 32768, 261, 130, 13, 65536, 19, 131072, 68, 40, 2049, 262144, 36, 524288, 264, 514, 132, 1048576, 37, 72, 21 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS The n-th row of A038566 gives the k's to consider when computing a(n). LINKS Rémy Sigrist, Table of n, a(n) for n = 1..10000 Rémy Sigrist, Colored logarithmic scatterplot of the first 10000 terms (where the color is function of A052126(n)) Rémy Sigrist, PARI program EXAMPLE The first terms, alongside their binary expansion, the corresponding k's and the implied forbidden bits, are:   n   a(n)  bin(a(n))  k's                              bin(forbidden)   --  ----  ---------  -------------------------------  --------------    1     0          0  {1}                                           0    2     1          1  {1}                                           0    3     2         10  {1, 2}                                        1    4     4        100  {1, 3}                                       10    5     8       1000  {1, 2, 3, 4}                                111    6     3         11  {1, 5}                                     1000    7    16      10000  {1, 2, 3, 4, 5, 6}                         1111    8     5        101  {1, 3, 5, 7}                              11010    9    32     100000  {1, 2, 4, 5, 7, 8}                        11101   10     9       1001  {1, 3, 7, 9}                             110010   11    64    1000000  {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}          111111   12     6        110  {1, 5, 7, 11}                           1011000 PROG (PARI) See Links section. CROSSREFS Cf. A038566, A052126, A352809. Sequence in context: A109588 A254788 A347669 * A052331 A242365 A119436 Adjacent sequences:  A352809 A352810 A352811 * A352813 A352814 A352815 KEYWORD nonn,base AUTHOR Rémy Sigrist, Apr 04 2022 STATUS approved

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Last modified August 7 23:50 EDT 2022. Contains 355995 sequences. (Running on oeis4.)