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A328544
Numbers k such that k multiplied by any of its digits contains k as a substring.
3
0, 1, 5, 6, 11, 111, 1111, 11111, 111111
OFFSET
1,3
COMMENTS
Conjecture: consists of 0,5,6, and the numbers 11...1.
MAPLE
isA328544 := proc(n)
local dgs , d, ndgs, nddgs;
ndgs := convert(n, base, 10) ;
dgs := convert(ndgs, set) ;
for d in dgs do
nddgs := convert(n*d, base, 10) ;
if not verify(ndgs, nddgs, 'sublist') then
return false;
end if;
end do:
true ;
end proc:
for n from 0 do
if isA328544(n) then
print(n) ;
end if;
end do: # R. J. Mathar, Oct 21 2019
CROSSREFS
Suggested by A328095 (which is a much more interesting sequence).
Sequence in context: A041227 A042183 A362020 * A041939 A177714 A273158
KEYWORD
nonn,base
AUTHOR
N. J. A. Sloane, Oct 19 2019
STATUS
approved