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 A330940 a(n) is the least value whose binary representation can be obtained by interleaving (or shuffling) two copies of the binary representation of n. 2
 0, 3, 10, 15, 36, 43, 54, 63, 136, 147, 170, 175, 204, 219, 238, 255, 528, 547, 586, 591, 660, 683, 694, 703, 792, 819, 858, 879, 924, 955, 990, 1023, 2080, 2115, 2186, 2191, 2340, 2347, 2358, 2367, 2600, 2643, 2730, 2735, 2764, 2779, 2798, 2815, 3120, 3171 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The binary representation of all positive terms are square binary words (see A191755). LINKS Rémy Sigrist, Table of n, a(n) for n = 0..8192 Rémy Sigrist, PARI program for A330940 FORMULA a(2^k) = 2^k*(1+2^(k+1)) = A007582(k+1) for any k >= 0. a(2^k-1) = 4^k-1 = A024036(k) for any k >= 0. a(n) <= A330941(n). EXAMPLE The first terms, alongside the binary representation of n and of a(n), are:   n   a(n)  bin(n)  bin(a(n))   --  ----  ------  ---------    0     0       0          0    1     3       1         11    2    10      10       1010    3    15      11       1111    4    36     100     100100    5    43     101     101011    6    54     110     110110    7    63     111     111111    8   136    1000   10001000    9   147    1001   10010011   10   170    1010   10101010   11   175    1011   10101111 PROG (PARI) See Links section. CROSSREFS See A330941 for the maximum variant. Cf. A007582, A024036, A191755, A193020. Sequence in context: A129307 A186575 A233312 * A020330 A023861 A037345 Adjacent sequences:  A330937 A330938 A330939 * A330941 A330942 A330943 KEYWORD nonn,base AUTHOR Rémy Sigrist, Jan 04 2020 STATUS approved

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Last modified December 7 15:24 EST 2021. Contains 349581 sequences. (Running on oeis4.)