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

1,2

Comments

Generated with DrScheme.

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

Links

Jonathan Wellons, Table of n, a(n) for n = 1..49

Jonathan Wellons, Tables of Shared Digits [archived]

Example

95819859194191^2 = 9181445415994589515848144481.

Mathematica

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

Crossrefs

Sequence in context: A294117 A266634 A092652 * A137059 A263966 A371365

Adjacent sequences: A137048 A137049 A137050 * A137052 A137053 A137054

Keyword

base,nonn

Author

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

Status

approved