A061845 Numbers that have one of every digit in some base.

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

Offset

2,1

Comments

Also known as pandigital numbers, especially in base 10.

Links

Alois P. Heinz, Rows n = 2..8, flattened

Example

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, ...
  ...

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

Column k=1 gives A049363 (for n>1).

Last elements of rows give A062813.

Cf. A050278, A134640, A001563 (row lengths).

Sequence in context: A371071 A168498 A255370 * A297836 A241757 A272883

Adjacent sequences: A061842 A061843 A061844 * A061846 A061847 A061848

Keyword

base,easy,nice,nonn,tabf

Author

Erich Friedman, Jun 23 2001

Status

approved