A241143 - OEIS

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A241143

Numbers n such that n and 7n share at least one digit.

5, 10, 13, 15, 16, 17, 18, 19, 20, 21, 25, 26, 29, 30, 31, 32, 33, 34, 35, 39, 40, 42, 43, 45, 49, 50, 51, 53, 55, 60, 64, 65, 66, 67, 68, 70, 71, 75, 80, 83, 84, 85, 86, 90, 95, 96, 97, 98, 99, 100, 101, 102, 103, 105, 107, 110, 113, 115, 116, 117, 118, 120, 123, 125, 126, 128, 129, 130, 131, 132, 133, 134, 135, 139, 140

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OFFSET

1,1

COMMENTS

All numbers n which are congruent to 0 (mod 5) have this characteristic.

LINKS

Table of n, a(n) for n=1..75.

EXAMPLE

13 is in the sequence since 13 and 7*13 = 91 and together they share the digit 1.

MATHEMATICA

fQ[n_] := Intersection[ IntegerDigits[ n], IntegerDigits[7 n]] != {}; Select[ Range[ 100], fQ]

CROSSREFS