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%I #16 Sep 20 2017 17:28:55
%S 288,336,4545
%N Nonsquare integers that cannot be represented in the form 4M-d, where (a*b)|M and d|(a+b) for some positive integers a,b.
%C If there are no more terms, the Erdos-Straus conjecture would follow.
%C This sequence together with the squares (A000290) and E(4) form a partition of the nonnegative integers. That is, this sequence gives nonsquare non-elements of E(4) (see Dubickas and Novikas, 2012).
%C There are no other terms below 2*10^9.
%H A. Dubickas, A. Novikas, <a href="https://www.emis.de/journals/AMUC/_vol-81/_no_2/_dubickas/dubickas.html">On integers expressible by some special linear form</a>, Acta Math. Univ. Comenianae LXXXI:2 (2012), 203-209.
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Erd%C5%91s%E2%80%93Straus_conjecture">Erdos-Straus conjecture</a>.
%Y Cf. A073101, A075245, A075246, A075247, A075248, A292581, A192787, A292624, A192789.
%K bref,nonn,hard,more
%O 1,1
%A _Max Alekseyev_, May 19 2017
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