Starting from generation 7 add previous and next term yielding generation 8.

Terms

a(0) =237a(1) =530a(2) =757a(3) =1132a(4) =1399a(5) =1838a(6) =2199a(7) =2653a(8) =3136a(9) =3578a(10) =4142a(11) =4600a(12) =5166a(13) =5690a(14) =6216a(15) =6812a(16) =7314a(17) =7926a(18) =8454a(19) =9034a(20) =9628a(21) =10194a(22) =10834a(23) =11414a(24) =12036a(25) =12636a(26) =13202a(27) =13886a(28) =14398a(29) =15262