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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Conjecture: consists of 0,5,6, and the numbers 11...1.

LINKS

Table of n, a(n) for n=1..9.

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: A332523 A041227 A042183 * A041939 A177714 A273158

Adjacent sequences:  A328541 A328542 A328543 * A328545 A328546 A328547

KEYWORD

nonn,base

AUTHOR

N. J. A. Sloane, Oct 19 2019

STATUS

approved

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Last modified June 25 10:28 EDT 2021. Contains 345453 sequences. (Running on oeis4.)