%I #11 Oct 01 2018 03:29:29
%S 2,11,23,50,116,135,138
%N Conjectured to be complete list of numbers not of the form 3*x^2 + 4*y^2 + 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 <= 200, n++, If[FindInstance[n == 3x^2 + 4y^2 + z(z+1)/2, {x, y, z}, Integers] == {}, Print[n]; Sow[n]]]][[2, 1]] (* _Jean-François Alcover_, Oct 01 2018 *)
%Y Cf. A141273, A141386, A141428, A141443, A141463.
%Y Cf. A141464, A141491, A141497.
%K nonn
%O 1,1
%A _N. J. A. Sloane_, Sep 05 2008