A137051 Numbers k such that k and k^2 use only the digits 1, 4, 5, 8 and 9.

1, 9, 141, 441, 941, 1191, 99559, 118988, 445488, 999559, 9958988, 44544191, 445919891, 941195441, 994458891, 9195411891, 9459859859, 9994941191, 11898949191, 44551594191, 44555449891, 94858548141, 99498181488, 445145914891, 445584958891, 919184195441, 945944814191, 9189418814859, 9195188958988, 9444544454559

Offset: 1

Author

Jonathan Wellons (wellons(AT)gmail.com), Jan 22 2008

Keywords

• base
• nonn

Comments

Generated with DrScheme.

Conjecture: The only squares present in the sequence are 1, 9, and 441. - Stefano Spezia, Apr 18 2024

Examples

			95819859194191^2 = 9181445415994589515848144481.
		

Links

• Jonathan Wellons, Table of n, a(n) for n = 1..49
• Jonathan Wellons, Tables of Shared Digits [archived]

Programs

Mathematica

Select[Range[10^6],SubsetQ[{1,4,5,8,9},Union[IntegerDigits[#],IntegerDigits[#^2]]]&] (* Stefano Spezia, Apr 18 2024 *)