A061507 Numbers with all odd digits, in which each digit divides the number formed by the rest, i.e., the number obtained by just removing this digit.

1, 3, 5, 7, 9, 11, 33, 55, 77, 99, 111, 155, 333, 555, 777, 999, 1111, 1113, 1131, 1155, 1179, 1197, 1311, 1555, 1719, 3111, 3333, 3339, 3393, 3555, 3771, 3933, 5155, 5355, 5555, 7119, 7777, 9333, 9999, 11111, 11133, 11155, 11313, 11331, 11355, 11555

Offset

0,2

Links

Harvey P. Dale, Table of n, a(n) for n = 0..3000

Example

155 belongs to this sequence as 1 divides 55 and 5 divides 15.

Mathematica

eddnQ[n_]:=Module[{idn=IntegerDigits[n]}, And@@(Divisible[First[#], Last[#]]&/@Table[{FromDigits[Drop[idn, {i}]], idn[[i]]}, {i, Length[ idn]}])]; Select[Flatten[Table[FromDigits/@Tuples[{1, 3, 5, 7, 9}, d], {d, 5}], 1], eddnQ] (* Harvey P. Dale, Apr 23 2014 *)

Crossrefs

Sequence in context: A265079 A092361 A029950 * A046497 A061512 A356750

Adjacent sequences: A061504 A061505 A061506 * A061508 A061509 A061510

Keyword

nonn,base,easy

Author

Amarnath Murthy, Jun 26 2001

Extensions

More terms from Sascha Kurz, Mar 24 2002

Status

approved