A116957 Lynch-Bell numbers n such that 5 is a digit of n.

5, 15, 135, 175, 315, 735, 1395, 1935, 3195, 3915, 9135, 9315

Offset

1,1

Comments

A Lynch-Bell number is a positive integer n with distinct nonzero digits such that each of its digits divides the number: n mod d = 0 if d is a digit of n.

Links

Table of n, a(n) for n=1..12.

Example

a(3)=135 since 135 is the third Lynch-Bell number that contains a 5.

Mathematica

lbn5Q[n_]:=Module[{idn=IntegerDigits[n]}, MemberQ[idn, 5]&&FreeQ[idn, 0]&&Max[DigitCount[n]]==1&&AllTrue[n/idn, IntegerQ]]; Select[Range[ 10000], lbn5Q] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Aug 19 2019 *)

Crossrefs

Cf. A115569, A034838, A034709, A063527.

Sequence in context: A244298 A050542 A091096 * A124209 A207970 A207971

Adjacent sequences: A116954 A116955 A116956 * A116958 A116959 A116960

Keyword

fini,full,base,nonn

Author

Walter Kehowski, Apr 03 2006

Status

approved