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A116957 Lynch-Bell numbers n such that 5 is a digit of n. 0
5, 15, 135, 175, 315, 735, 1395, 1935, 3195, 3915, 9135, 9315 (list; graph; refs; listen; history; text; internal format)
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

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Last modified January 23 07:07 EST 2020. Contains 331168 sequences. (Running on oeis4.)