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A061362
Numbers in which each nonzero digit divides the number formed by the rest, i.e., the number obtained by just removing this digit.
3
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 20, 22, 30, 33, 40, 44, 50, 55, 60, 66, 70, 77, 80, 88, 90, 99, 100, 101, 102, 105, 110, 111, 120, 122, 124, 126, 142, 150, 155, 162, 168, 186, 200, 202, 204, 210, 220, 222, 240, 244, 248, 250, 284, 300, 303, 306, 324, 330, 333
OFFSET
1,3
LINKS
EXAMPLE
142 is a member as 1 divides 42, 2 divides 14 and 4 divides 12.
MATHEMATICA
ddnQ[n_]:=Module[{idn=IntegerDigits[n], nz, len, tr}, nz=Select[idn, #!=0&]; len = Length[idn]; tr=Table[FromDigits[Drop[idn, {i}]], {i, len}]; And@@ Table[ Divisible[ tr[[k]], nz[[k]]], {k, Length[nz]}]]; Select[Range[400], ddnQ] (* Harvey P. Dale, Jun 29 2015 *)
PROG
(PARI) ok(n)={my(d=digits(n)); for(i=1, #d, if(d[i] && fromdigits(concat(d[1..i-1], d[i+1..#d]))%d[i], return(0))); 1} \\ Andrew Howroyd, Sep 17 2024
CROSSREFS
Sequence in context: A334145 A190220 A113586 * A373117 A096091 A084050
KEYWORD
nonn,base,easy
AUTHOR
Amarnath Murthy, Jun 26 2001
EXTENSIONS
Corrected and extended by Dean Hickerson, Jul 10 2001
Offset changed and 0 inserted by Andrew Howroyd, Sep 17 2024
STATUS
approved