|
|
A137051
|
|
Numbers k such that k and k^2 use only the digits 1, 4, 5, 8 and 9.
|
|
2
|
|
|
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
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
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
|
|
|
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
|
|
|
KEYWORD
|
base,nonn,changed
|
|
AUTHOR
|
Jonathan Wellons (wellons(AT)gmail.com), Jan 22 2008
|
|
STATUS
|
approved
|
|
|
|