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A075049
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n is in the sequence if every digit of n is a divisor of n and every divisor of n in the range [2,9] occurs at least once as a digit of n.
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0
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1, 2, 3, 5, 7, 11, 22, 33, 55, 77, 115, 122, 124, 155, 175, 244, 248, 412, 515, 735, 824, 1111, 1115, 1124, 1131, 1222, 1244, 1311, 1326, 1335, 1362, 1395, 1412, 1555, 1715, 1771, 1935, 2122, 2222, 2248, 2364, 2444, 2488, 2824, 2848, 3111, 3126, 3135, 3162
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| The sequence is infinite, since every number of the form (10^n-1)/9 with n not divisible by 3 is a member.
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MATHEMATICA
| Select[Range[3200], Select[Union[IntegerDigits[t=# ]], #!=1&]==Select[Range[2, 9], Mod[t, # ]==0&]&]
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CROSSREFS
| Sequence in context: A079429 A072299 A038204 * A061165 A183055 A046689
Adjacent sequences: A075046 A075047 A075048 * A075050 A075051 A075052
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KEYWORD
| base,nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 03 2002
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EXTENSIONS
| Edited by Dean Hickerson (dean.hickerson(AT)yahoo.com), Sep 08 2002
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