A263314 Numbers m whose decimal representation includes at least one digit that divides every digit of m.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 26, 28, 30, 31, 33, 36, 39, 40, 41, 42, 44, 48, 50, 51, 55, 60, 61, 62, 63, 66, 70, 71, 77, 80, 81, 82, 84, 88, 90, 91, 93, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112

Offset

1,2

Comments

Every number that has a digit '1' (cf. A011531) is in this sequence. Sequence A034838 (every digit divides n) is not a subsequence (e.g., 324 is not in the present sequence). - M. F. Hasler, Jan 10 2016

Links

Chai Wah Wu, Table of n, a(n) for n = 1..10000

Prog

(Python)
A263314_list = []
for i in range(10**4):
    s = str(i)
    for d in s:
        j = int(d)
        if j :
            for e in s:
                if int(e) % j:
                    break
            else:
                A263314_list.append(i)
                break
# Chai Wah Wu, Oct 21 2015
(PARI) is(n)={n && (n=select(t->t, Set(digits(n))))%n[1]==0} \\ The divisor is necessarily the smallest nonzero digit. A vector having no nonzero component is considered equal to 0. - M. F. Hasler, Jan 10 2016

Crossrefs

Sequence in context: A038770 A342591 A193176 * A267086 A362623 A032517

Adjacent sequences: A263311 A263312 A263313 * A263315 A263316 A263317

Keyword

nonn,base

Author

Giovanni Teofilatto, Oct 14 2015

Status

approved