A240972 - OEIS

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.

%I #23 Aug 22 2014 14:39:20

%S 1,6,10,28,72,352,240,832,672,2432,17408,12800,47104,55296,41984,

%T 126976,950272,2162688,2424832,3211264,18350080,5111808,90177536,

%U 377487360,55574528,394264576,247463936,3422552064,578813952,14763950080

%N 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.

%C 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).

%C The second constraint ensures that the sequence contains only distinct terms, and differs from A000079.

%C The keywords "nice" and "look" are based on the fact that the binary plot is very interesting. - _N. J. A. Sloane_, Aug 22 2014

%H Paul Tek, <a href="/A240972/b240972.txt">Table of n, a(n) for n = 1..3313</a>

%H Paul Tek, <a href="/A240972/a240972.png">Binary plot of the first hundred terms</a>

%H Paul Tek, <a href="/A240972/a240972.pl.txt">Perl program for this sequence</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/BinaryPlot.html">Binary Plot</a>

%o (Perl) See Link section.

%Y Cf. A230598, A240992 (odd part).

%K nonn,base,nice,look

%O 1,2

%A _Paul Tek_, Aug 05 2014