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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
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 (list; graph; refs; listen; history; text; internal format)
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 A083964

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

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Last modified August 8 02:41 EDT 2020. Contains 336290 sequences. (Running on oeis4.)