OFFSET
1,1
COMMENTS
Generated with DrScheme.
Includes 5*10^(2*k) - (16*10^k + 14)/3 for k >= 3. The only terms < 10^28 not of that form are 2, 264, 964, 494262, 494462, 4996962, 49944662, 49999296962, and 499999296962. - Robert Israel, Nov 24 2023
LINKS
J. Wellons, Tables of Shared Digits [archived]
EXAMPLE
499999296962^2 = 249999296962494262429444.
MAPLE
Good := {2, 4, 6, 9}: R:= 2:
G[1]:= {2, 4, 6}:
for d from 2 to 28 do
G[d]:= select(t -> member(floor((t^2 mod 10^d)/10^(d-1)), Good), map(t -> seq(10^(d-1)*i+t, i=Good), G[d-1]));
for t in G[d] do
if convert(convert(t^2, base, 10), set) subset Good then R:= R, t fi
od od:
sort([R]); # Robert Israel, Nov 24 2023
CROSSREFS
KEYWORD
base,nonn
AUTHOR
Jonathan Wellons (wellons(AT)gmail.com), Jan 22 2008
EXTENSIONS
More terms from Robert Israel, Nov 24 2023
STATUS
approved