

A331342


Lexicographically earliest sequence of distinct terms a(n) indivisible by all of their digits that become divisible by all of their digits when a(n+1) is added to a(n).


1



23, 43, 34, 54, 57, 58, 53, 46, 69, 59, 29, 37, 74, 38, 73, 49, 79, 47, 68, 56, 76, 86, 89, 223, 389, 247, 377, 67, 257, 367, 269, 97, 27, 397, 227, 439, 233, 379, 293, 343, 323, 289, 347, 277, 359, 253, 83, 229, 259, 353, 283, 329, 337, 87, 249, 239, 94, 338, 334, 78, 346, 98, 457, 479, 634, 477, 638
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OFFSET

1,1


COMMENTS

Is this sequence a reordering of A038772?


LINKS

JeanMarc Falcoz, Table of n, a(n) for n = 1..20001


EXAMPLE

a(1) = 23 is not divisible by 2 and not divisible by 3. When a(2) = 43 is added to a(1) = 23, the result (66) is divisible by all its digits.
a(2) = 43 is not divisible by 4 and not divisible by 3. When a(3) = 34 is added to a(2) = 43, the result (77) is divisible by all its digits.
a(3) = 34 is not divisible by 3 and not divisible by 4. When a(4) = 54 is added to a(3) = 34, the result (88) is divisible by all its digits.
a(4) = 54 is not divisible by 5 and not divisible by 4. When a(5) = 57 is added to a(4) = 54, the result (111) is divisible by all its digits.
a(5) = 57 is not divisible by 5 and not divisible by 7. When a(6) = 58 is added to a(5) = 57, the result (115) is divisible by all its digits....


CROSSREFS

Cf. A038772, A034838.
Sequence in context: A106969 A304390 A309533 * A306085 A037137 A154530
Adjacent sequences: A331339 A331340 A331341 * A331343 A331344 A331345


KEYWORD

base,nonn


AUTHOR

Eric Angelini and JeanMarc Falcoz, Jan 14 2020


STATUS

approved



