Fractional part of square root of a(n) starts with 5: first term of runs.

Terms

a(0) =21a(1) =31a(2) =43a(3) =57a(4) =73a(5) =91a(6) =111a(7) =133a(8) =157a(9) =183a(10) =211a(11) =241a(12) =273a(13) =307a(14) =343a(15) =381a(16) =421a(17) =463a(18) =507a(19) =553a(20) =601a(21) =651a(22) =703a(23) =757a(24) =813a(25) =871a(26) =931a(27) =993a(28) =1057a(29) =1123