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Fractional part of square root of a(n) starts with digit 6.
1

%I #12 Sep 03 2020 09:45:23

%S 7,13,22,32,44,58,59,74,75,93,94,113,114,135,136,159,160,161,185,186,

%T 187,214,215,216,244,245,246,276,277,278,310,311,312,313,346,347,348,

%U 349,385,386,387,388,425,426,427,428,467,468,469,470,511,512,513,514

%N Fractional part of square root of a(n) starts with digit 6.

%t dp6Q[n_]:=Module[{srn=Sqrt[n],rdn,d},rdn=RealDigits[srn,10,10];If[ !IntegerQ[srn],d=rdn[[2]]+1,d=1];!IntegerQ[srn]&&rdn[[1,d]]==6]; Select[Range[600],dp6Q] (* _Harvey P. Dale_, May 18 2012 *)

%Y Cf. A034112.

%K nonn,easy,base

%O 1,1

%A _Patrick De Geest_, Sep 15 1998