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A061845
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Numbers that have one of every digit in some base.
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7
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2, 11, 15, 19, 21, 75, 78, 99, 108, 114, 120, 135, 141, 147, 156, 177, 180, 198, 201, 210, 216, 225, 228, 694, 698, 714, 722, 738, 742, 894, 898, 954, 970, 978, 990, 1014, 1022, 1054, 1070, 1102, 1110, 1138, 1142, 1178, 1190, 1202, 1210, 1294, 1298, 1334
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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2,1
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COMMENTS
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Also known as pandigital numbers, especially in base 10.
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LINKS
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EXAMPLE
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Base 3 values are 102_3 = 11, 120_3 = 15, 201_3 = 19, 210_3 = 21.
Triangle begins:
2;
11, 15, 19, 21;
75, 78, 99, 108, 114, 120, 135, 141, 147, 156, 177, 180, 198, 201, ...
694, 698, 714, 722, 738, 742, 894, 898, 954, 970, 978, 990, 1014, 1022, ...
...
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MATHEMATICA
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dtn[ L_, base_ ] := Fold[ base*#1+#2&, 0, L ] f[ n_ ] := Map[ dtn[ #, n ]&, Select[ Permutations[ Range[ 0, n-1 ] ], First[ # ]>0& ] ] Flatten[ Join[ Table[ f[ i ], {i, 2, 5} ] ] ]
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CROSSREFS
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Column k=1 gives A049363 (for n>1).
Last elements of rows give A062813.
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KEYWORD
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base,easy,nice,nonn,tabf
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AUTHOR
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STATUS
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approved
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