Quadruples a>b>c>d>0 such that six pairwise sums and the total sum are all squares.

Terms

a(0) =110952a(1) =12952a(2) =10152a(3) =8073a(4) =129128a(5) =78808a(6) =34088a(7) =13001a(8) =142472a(9) =100577a(10) =61832a(11) =14344a(12) =154880a(13) =36089a(14) =5120a(15) =1936a(16) =161154a(17) =52290a(18) =41346a(19) =5310a(20) =163982a(21) =149618a(22) =106418a(23) =2482a(24) =166880a(25) =63520a(26) =33824a(27) =6176a(28) =167778a(29) =130338