cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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.

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%I A240972 #24 Feb 16 2025 08:33:21
%S A240972 1,6,10,28,72,352,240,832,672,2432,17408,12800,47104,55296,41984,
%T A240972 126976,950272,2162688,2424832,3211264,18350080,5111808,90177536,
%U A240972 377487360,55574528,394264576,247463936,3422552064,578813952,14763950080
%N 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.
%C A240972 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 A240972 The second constraint ensures that the sequence contains only distinct terms, and differs from A000079.
%C A240972 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 A240972 Paul Tek, <a href="/A240972/b240972.txt">Table of n, a(n) for n = 1..3313</a>
%H A240972 Paul Tek, <a href="/A240972/a240972.png">Binary plot of the first hundred terms</a>
%H A240972 Paul Tek, <a href="/A240972/a240972.pl.txt">Perl program for this sequence</a>
%H A240972 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/BinaryPlot.html">Binary Plot</a>
%o A240972 (Perl) See Link section.
%Y A240972 Cf. A230598, A240992 (odd part).
%K A240972 nonn,base,nice,look
%O A240972 1,2
%A A240972 _Paul Tek_, Aug 05 2014