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%I #11 Oct 01 2018 03:50:51
%S 1,3,10,16,28,43,46,85,169,175,211,223
%N Conjectured to be complete list of numbers not of the form 2*x^2 + 4*triangular number + 5*triangular number.
%H Ben Kane and Zhi-Wei Sun, <a href="http://arxiv.org/abs/0808.2761">On almost universal mixed sums of squares and triangular numbers</a>, arXiv:0808.2761
%t Reap[For[n = 1, n <= 300, n++, If[FindInstance[n == 2x^2 + 4y(y+1)/2 + 5z(z+1)/2, {x, y, z}, Integers] == {}, Print[n]; Sow[n]]]][[2, 1]] (* _Jean-François Alcover_, Oct 01 2018 *)
%Y Cf. A141464, A141491.
%Y Cf. A141273, A141386, A141423, A141428, A141443, A141463.
%K nonn
%O 1,2
%A _N. J. A. Sloane_, Sep 05 2008
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