Fractional part of square root of a(n) starts with 7: first term of runs.

Terms

a(0) =3a(1) =14a(2) =23a(3) =33a(4) =45a(5) =60a(6) =76a(7) =95a(8) =115a(9) =137a(10) =162a(11) =188a(12) =217a(13) =247a(14) =279a(15) =314a(16) =350a(17) =389a(18) =429a(19) =471a(20) =516a(21) =562a(22) =611a(23) =661a(24) =713a(25) =768a(26) =824a(27) =883a(28) =943a(29) =1005