A113507 Numbers whose square root in base 10 starts with 10 distinct digits.

1362, 1843, 2540, 4280, 5507, 6896, 14601, 15143, 17547, 18393, 20337, 22710, 23560, 25887, 27487, 30728, 32286, 32615, 33144, 34499, 37194, 43422, 46075, 46167, 47293, 47497, 56125, 58465, 58495, 60552, 60911, 62069, 62091, 65743

Offset: 1

Author

Giovanni Resta, Jan 11 2006

Keywords

• base
• easy
• nonn

Examples

			sqrt(1362) = 36.90528417...
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..400

Programs

Mathematica

Do[If[Union@Take[RealDigits[s = Sqrt[k], 10, 20][[1]], 10] == Range[0, 9], Print[{k, N[s, 15]}]], {k, 10^5}]
Select[Range[75000],Sort[RealDigits[Sqrt[#],10,10][[1]]]==Range[0,9]&] (* Harvey P. Dale, Dec 19 2015 *)

Extensions

More terms from Robert G. Wilson v, Jan 12 2006