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A259571 Numbers n whose square root contains at least one instance of n in the first n digits after the decimal point. 1

%I

%S 3,7,8,17,23,27,38,39,43,48,58,65,66,67,68,69,74,75,76,77,78,83,84,88,

%T 89,91,92,93,98,99,105,110,113,140,156,157,170,182,186,188,191,194,

%U 205,212,215,218,222,227,229,234,235,241,246,247,252,267,287,293,294

%N Numbers n whose square root contains at least one instance of n in the first n digits after the decimal point.

%C Numbers beginning with a nine are most likely to have this property, and numbers beginning with a one are least likely. No squares have it.

%H Andreas Boe, <a href="/A259571/b259571.txt">Table of n, a(n) for n = 1..551</a>

%e sqrt(17) = 4.12310562561766054... The first 17 digits after the decimal point contain "17".

%t Select[Range@ 301, ! StringFreeQ[ToString@ FromDigits@ First@ RealDigits@ N[Sqrt@ #, #], ToString@ #] &] // Rest (* _Michael De Vlieger_, Jul 02 2015 *)

%K nonn,base

%O 1,1

%A _Andreas Boe_, Jun 30 2015

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Last modified May 19 12:03 EDT 2022. Contains 353833 sequences. (Running on oeis4.)