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A141428 Conjectured to be complete list of numbers not of the form x^2 + 5*y^2 + 3*triangular number. 8

%I #11 Oct 01 2018 03:29:36

%S 2,11,26,37,40,53,62,142,220,425,692

%N Conjectured to be complete list of numbers not of the form x^2 + 5*y^2 + 3*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 <= 700, n++, If[FindInstance[n == x^2 + 5y^2 + 3z(z+1)/2, {x, y, z}, Integers] == {}, Print[n]; Sow[n]]]][[2, 1]] (* _Jean-François Alcover_, Oct 01 2018 *)

%Y Cf. A141273, A141386, A141423, A141443, A141463.

%Y Cf. A141464, A141491, A141497.

%K nonn

%O 1,1

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

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Last modified September 16 23:59 EDT 2024. Contains 375984 sequences. (Running on oeis4.)