The squares related to the strictly increasing subsequence of A053667(n), n >= 1.

Terms

a(0) =1a(1) =4a(2) =9a(3) =25a(4) =36a(5) =49a(6) =169a(7) =256a(8) =289a(9) =576a(10) =676a(11) =1849a(12) =3844a(13) =3969a(14) =5776a(15) =6889a(16) =26896a(17) =27889a(18) =55696a(19) =69696a(20) =97969a(21) =339889a(22) =376996a(23) =499849a(24) =678976a(25) =698896a(26) =779689a(27) =2679769a(28) =2768896a(29) =2778889