

A273376


Pick any pair of "1" digits in the sequence. Those two "1"s are separated by k digits. This is the lexicographically earliest sequence of distinct terms in which all the resulting values of k are distinct.


10



0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 20, 21, 22, 23, 24, 25, 26, 27, 12, 28, 29, 13, 30, 32, 33, 14, 34, 35, 36, 37, 38, 39, 40, 42, 43, 44, 15, 45, 46, 47, 48, 49, 50, 31, 52, 53, 54, 55, 41, 56, 57, 58, 59, 60, 62, 63, 64, 65, 66, 67, 68, 69, 70, 72, 73, 74, 75, 51, 76, 77, 78, 79, 80, 82, 83, 84, 85, 86, 87, 88, 89, 61, 90, 92, 93, 94, 95, 96, 97, 98, 99, 200, 202, 203, 204, 205, 206, 201
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OFFSET

1,3


COMMENTS

The sequence starts with a(1)=0. It is then always extended with the smallest integer not yet present and not leading to a contradiction (which would mean producing a value of k already seen).


LINKS

Eric Angelini, Table of n, a(n) for n = 1..1011


EXAMPLE

The ten "k"s in the starting segment here are different [0,1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 20, 21,] and respectively equal to 8,10,11,15,1,2,6,0,4,3.
Indeed, there are k=8 digits between [1] and the "1" of [10] which are 2,3,4,5,6,7,8,9; there are k=10 digits between [1] and the first "1" of [11] which are 2,3,4,5,6,7,8,9,1,0; there are k=11 digits between [1] and the second "1" of [11] which are 2,3,4,5,6,7,8,9,1,0,1; there are k=15 digits between [1] and the "1" of [21] which are 2,3,4,5,6,7,8,9,1,0,1,1,2,0,2.
There is k=1 digit between the "1" of [10] and the first "1" of [11] which is 0; there are k=2 digits between the "1" of [10] and the second "1" of [11] which are 0 and 1; there are k=6 digits between the "1" of [10] and the "1" of [21] which are 0,1,1,2,0,2.
There are k=0 digits between the first "1" of [11] and the second "1" of [11]; there are k=4 digits between the first "1" of [11] and the "1" of [21] which are 1,2,0,2.
There are k=3 digits between the second "1" of [11] and the "1" of [21] which are 2,0 and 2.


CROSSREFS

Sequence in context: A339018 A303948 A275413 * A247758 A247757 A247754
Adjacent sequences: A273373 A273374 A273375 * A273377 A273378 A273379


KEYWORD

nonn,base


AUTHOR

Eric Angelini and JeanMarc Falcoz, May 30 2016


STATUS

approved



