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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 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.)