

A241142


Numbers n such that n and 6n share at least one digit.


6



2, 4, 6, 8, 10, 12, 14, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 31, 32, 34, 36, 38, 39, 40, 41, 42, 44, 46, 48, 49, 50, 52, 53, 54, 56, 58, 59, 60, 61, 62, 63, 64, 66, 68, 70, 72, 73, 74, 75, 76, 78, 79, 80, 81, 82, 83, 84, 85, 86, 88, 90, 92, 94, 95, 96, 98, 99, 100
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OFFSET

1,1


COMMENTS

All numbers n which are congruent to 0 (mod 6) have this characteristic.
All even n have this characteristic, because n == 6n mod 10. Robert Israel, Apr 17 2014


LINKS



EXAMPLE

12 is in the sequence since 12 and 6*12 = 72 and together they share the digit 2.


MAPLE

N:= 10000; # to get all entries up to N
filter:= proc(n) local L, L6;
L:= convert(convert(n, base, 10), set);
L6:= convert(convert(6*n, base, 10), set);
L intersect L6 <> {};
end;


MATHEMATICA

fQ[n_] := Intersection[ IntegerDigits[ n], IntegerDigits[6 n]] != {}; Select[ Range[ 100], fQ]


PROG

(PARI) isok(n) = #setintersect(Set(digits(n)), Set(digits(6*n))); \\ Michel Marcus, Apr 17 2014


CROSSREFS



KEYWORD

base,easy,nonn


AUTHOR



STATUS

approved



