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A328544 Numbers k such that k multiplied by any of its digits contains k as a substring. 3

%I #7 Oct 21 2019 13:54:49

%S 0,1,5,6,11,111,1111,11111,111111

%N Numbers k such that k multiplied by any of its digits contains k as a substring.

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

%p isA328544 := proc(n)

%p local dgs ,d,ndgs,nddgs;

%p ndgs := convert(n,base,10) ;

%p dgs := convert(ndgs,set) ;

%p for d in dgs do

%p nddgs := convert(n*d,base,10) ;

%p if not verify(ndgs,nddgs,'sublist') then

%p return false;

%p end if;

%p end do:

%p true ;

%p end proc:

%p for n from 0 do

%p if isA328544(n) then

%p print(n) ;

%p end if;

%p end do: # _R. J. Mathar_, Oct 21 2019

%Y Suggested by A328095 (which is a much more interesting sequence).

%K nonn,base

%O 1,3

%A _N. J. A. Sloane_, Oct 19 2019

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Last modified April 25 08:27 EDT 2024. Contains 371964 sequences. (Running on oeis4.)