Numbers k such that C(k,3) = C(x,3) + C(y,3) is solvable.

Terms

a(0) =6a(1) =17a(2) =57a(3) =60a(4) =76a(5) =111a(6) =112a(7) =121a(8) =142a(9) =177a(10) =247a(11) =296a(12) =420a(13) =437a(14) =454a(15) =476a(16) =494a(17) =530a(18) =537a(19) =552a(20) =564a(21) =590a(22) =646a(23) =690a(24) =704a(25) =716a(26) =742a(27) =749a(28) =755a(29) =820