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A240972
Lexicographically earliest sequence such that (i) the binary plot of the sequence is symmetric with respect to the line y=x and (ii) the derived sequence (A000265(a(n))) contains only distinct terms.
2
1, 6, 10, 28, 72, 352, 240, 832, 672, 2432, 17408, 12800, 47104, 55296, 41984, 126976, 950272, 2162688, 2424832, 3211264, 18350080, 5111808, 90177536, 377487360, 55574528, 394264576, 247463936, 3422552064, 578813952, 14763950080
OFFSET
1,2
COMMENTS
The first constraint means that writing the binary representation of each number vertically yields a symmetrical plot about the line y = x (see the binary plot).
The second constraint ensures that the sequence contains only distinct terms, and differs from A000079.
The keywords "nice" and "look" are based on the fact that the binary plot is very interesting. - N. J. A. Sloane, Aug 22 2014
LINKS
Eric Weisstein's World of Mathematics, Binary Plot
PROG
(Perl) See Link section.
CROSSREFS
Cf. A230598, A240992 (odd part).
Sequence in context: A129545 A097578 A300098 * A349846 A103767 A025129
KEYWORD
nonn,base,nice,look
AUTHOR
Paul Tek, Aug 05 2014
STATUS
approved