Consider all Pythagorean triples (X,X+7,Z); sequence gives Z values.

Terms

a(0) =5a(1) =7a(2) =13a(3) =17a(4) =35a(5) =73a(6) =97a(7) =203a(8) =425a(9) =565a(10) =1183a(11) =2477a(12) =3293a(13) =6895a(14) =14437a(15) =19193a(16) =40187a(17) =84145a(18) =111865a(19) =234227a(20) =490433a(21) =651997a(22) =1365175a(23) =2858453a(24) =3800117a(25) =7956823a(26) =16660285a(27) =22148705a(28) =46375763a(29) =97103257