Integers k such that there exists an integer 0<m<k such that m*sigma(m)^2 + k*sigma(k)^2 = (m+k)^3.

Terms

a(0) =21a(1) =231a(2) =284a(3) =1210a(4) =2499a(5) =2924a(6) =5564a(7) =6368a(8) =10856a(9) =14595a(10) =18416a(11) =66992a(12) =71145a(13) =76084a(14) =87633a(15) =88730a(16) =123152a(17) =124155a(18) =139815a(19) =153176a(20) =168730a(21) =176336a(22) =180848a(23) =202444a(24) =203432a(25) =293986a(26) =365084a(27) =389924a(28) =399592a(29) =430402