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 A055238 Numbers that are divisible by at least one of their digits in every base. 4
 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 24, 28, 30, 36, 42, 48, 60, 120 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS This list is probably finite and complete. For example 180 fails at base 23 and 240 fails at bases 21, 31 and 33 LINKS EXAMPLE 9 is included because it can be written as 111111111,1001,100,21,14,13,12,11,10 or 9 and in every case there is a digit which divides 9; 11 is not on the list because in base 4 it is written 23 and 11 is not divisible by either 2 or 3. MATHEMATICA divQ[n_, base_] := AnyTrue[Select[IntegerDigits[n, base], Positive], Divisible[n, #]&]; okQ[n_] := AllTrue[Range[2, n-1], divQ[n, #]&]; Select[Range[1000], okQ] (* Jean-François Alcover, Nov 07 2019 *) CROSSREFS Cf. A038770, A055239, A055240, A055241, A055242. Sequence in context: A243356 A117296 A096503 * A100952 A303332 A030477 Adjacent sequences:  A055235 A055236 A055237 * A055239 A055240 A055241 KEYWORD fini,full,nice,base,nonn AUTHOR Henry Bottomley, May 04 2000 STATUS approved

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Last modified August 14 13:57 EDT 2020. Contains 336481 sequences. (Running on oeis4.)