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A082757
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Possible integer ratios of A/B, where A and B have no 0 in their decimal representation, all decimal digits of A and B are different and each digit is used only once.
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1
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2, 3, 4, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17, 18, 19, 22, 23, 24, 26, 27, 28, 29, 32, 35, 37, 38, 43, 44, 46, 52, 53, 59, 62, 66, 68, 134, 143, 148, 152, 155, 163, 164, 168, 173, 176, 178, 182, 185, 188, 194, 197, 198, 203, 206, 212, 215, 224, 225, 227
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OFFSET
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1,1
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COMMENTS
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The sequence has 179540 terms, the last being 98765432. - Giovanni Resta, Mar 21 2013
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LINKS
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EXAMPLE
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13458 / 6729 = 2
17469 / 5823 = 3
15768 / 3942 = 4
...
98765432 / 1 = 98765432
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MATHEMATICA
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f[w_] := Select[Floor[w/10^#]/Mod[w, 10^#] & /@ {1, 2, 3, 4}, IntegerQ]; seq = Union[Flatten[f /@ (FromDigits /@ Permutations[ Range@9])]]; Length[seq] (* Giovanni Resta, Mar 21 2013 *)
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CROSSREFS
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KEYWORD
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base,easy,fini,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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