A128635 - OEIS

A128635

Number of numbers not greater than n and divisible by all digits in decimal representation.

1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 10, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20

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OFFSET

1,2

COMMENTS

a(A034838(n)) = n.

LINKS

R. Zumkeller, Table of n, a(n) for n = 1..10000

EXAMPLE

a(42) = #{1,2,3,4,5,6,7,8,9,11,12,15,22,24,33,36} = 16.

MATHEMATICA

Accumulate[Table[If[DigitCount[n, 10, 0]==0&&Union[Mod[n, IntegerDigits[n]]] == {0}, 1, 0], {n, 80}]] (* Harvey P. Dale, Feb 21 2020 *)

CROSSREFS