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A096109
Beginning with 1 distinct numbers. A new digit say n occurs after exhausting all possible numbers containing up to and at most n-1 digits, in increasing order (in a typical manner explained in the example) formed by already occurring digits.
0
1, 2, 11, 12, 21, 22, 3, 13, 31, 33, 23, 32, 111, 112, 121, 122, 113, 131, 222, 223, 232, 322, 323, 333, 4, 14, 41, 44, 24, 42, 34, 43, 124, 142
OFFSET
1,2
COMMENTS
The sequence is not base dependent. Subsidiary sequences: (1) Indices of the digit n. (2) Indices of r occurrences of 1. (3) Indices of r occurrences of any digit k.
EXAMPLE
After 3 all numbers using 1 and 3 are placed in increasing order with digit multiplicity. Then all numbers using 2 and 3 are placed in increasing order then all numbers using 1,2,3 are placed in the same fashion. And the next term is 4.
CROSSREFS
Sequence in context: A125020 A065020 A136986 * A136997 A085184 A037089
KEYWORD
nonn,base,uned
AUTHOR
Amarnath Murthy, Jun 27 2004
STATUS
approved