Fractional part of square root of a(n) starts with 1: first term of runs.

Terms

a(0) =10a(1) =17a(2) =27a(3) =38a(4) =51a(5) =66a(6) =83a(7) =103a(8) =124a(9) =147a(10) =172a(11) =199a(12) =229a(13) =260a(14) =293a(15) =328a(16) =365a(17) =405a(18) =446a(19) =489a(20) =534a(21) =581a(22) =631a(23) =682a(24) =735a(25) =790a(26) =847a(27) =907a(28) =968a(29) =1031