

A283192


Lexicographically earliest sequence of distinct terms such that the derived sequence s(n)=CarrylessSum{k=1..n}a(k) contains only distinct terms, where CarrylessSum is the analog of summation for carryless addition.


4



1, 2, 3, 4, 5, 7, 6, 9, 10, 8, 11, 12, 13, 14, 15, 16, 17, 18, 20, 19, 22, 21, 23, 28, 24, 25, 26, 29, 30, 27, 31, 32, 33, 35, 34, 36, 38, 37, 41, 40, 39, 42, 44, 52, 45, 43, 46, 47, 54, 48, 51, 55, 56, 49, 67, 62, 50, 53, 61, 58, 57, 63, 64, 71, 59, 66, 65
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OFFSET

1,2


COMMENTS

This sequence is a permutation of the natural numbers (with inverse A283194 and fixed points A283206):
 for any k>0, 10^(k1) is the first kdigit number appearing in this sequence, and the corresponding partial carryless sum is also the first kdigit number appearing in A283193,
 all powers of 10 appear in this sequence, in increasing order,
 if a(m)=10^k, and the least value not yet seen in this sequence, say v, is smaller than 10^k, then a(m+1)=v,
 hence each natural number will eventually appear in this sequence.


LINKS



CROSSREFS



KEYWORD

nonn,base


AUTHOR



STATUS

approved



