Fractional part of square root of a(n) starts with 8: first term of runs.

Terms

a(0) =8a(1) =15a(2) =24a(3) =34a(4) =47a(5) =61a(6) =78a(7) =97a(8) =117a(9) =140a(10) =164a(11) =191a(12) =220a(13) =250a(14) =283a(15) =317a(16) =354a(17) =393a(18) =433a(19) =476a(20) =520a(21) =567a(22) =616a(23) =666a(24) =719a(25) =773a(26) =830a(27) =889a(28) =949a(29) =1012