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Conjectured to be complete list of numbers not of the form 2*x^2 + y^2 + 12*triangular number.
8

%I #11 Oct 01 2018 03:29:50

%S 5,7,10,26,35,65,92,127,322

%N Conjectured to be complete list of numbers not of the form 2*x^2 + y^2 + 12*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 <= 400, n++, If[FindInstance[n == 2x^2 + y^2 + 12z(z+1)/2, {x, y, z}, Integers] == {}, Print[n]; Sow[n]]]][[2, 1]] (* _Jean-François Alcover_, Oct 01 2018 *)

%Y Cf. A141273, A141386, A141423, A141428, A141463.

%Y Cf. A141464, A141491, A141497.

%K nonn

%O 1,1

%A _N. J. A. Sloane_, Sep 05 2008