|
| |
|
|
A061845
|
|
Numbers which have one of every digit in some base.
|
|
2
| |
|
|
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; internal format)
|
|
|
|
OFFSET
| 2,1
|
|
|
COMMENTS
| Also known as pandigital numbers, especially in base 10.
|
|
|
EXAMPLE
| Base 3 values are 102_3 = 11, 120_3 = 15, 201_3 = 19, 210_3 = 21.
|
|
|
MATHEMATICA
| 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} ] ] ]
|
|
|
CROSSREFS
| Cf. A050278, A134640, A001563 (row lengths).
Sequence in context: A034039 A077475 A168498 * A091211 A199397 A012019
Adjacent sequences: A061842 A061843 A061844 * A061846 A061847 A061848
|
|
|
KEYWORD
| base,easy,nice,nonn,tabf
|
|
|
AUTHOR
| Erich Friedman (efriedma(AT)stetson.edu), Jun 23 2001
|
| |
|
|