A273876 The successive numbers of digits visible between two odd terms are given by the sequence itself.

0, 1, 3, 2, 5, 4, 6, 8, 7, 10, 9, 12, 100, 11, 14, 16, 13, 18, 20, 22, 15, 24, 26, 28, 30, 17, 32, 34, 102, 19, 36, 38, 40, 42, 44, 21, 46, 48, 50, 104, 23, 52, 54, 56, 58, 60, 62, 25, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 106, 108, 110, 112, 114, 116, 118, 120, 122, 124, 126, 128, 130, 132, 134, 136, 138, 140, 142, 144, 1000, 27, 146, 148, 10000, 29

Offset

1,3

Comments

The sequence starts with a(1)=0. It is then extended with the smallest integer not yet present and not leading to a contradiction. This sequence is a permutation of the integers >=0.

Links

Table of n, a(n) for n=1..92.

Example

The first two odd terms that appear in the sequence are 1 and 3; between 1 and 3 there are 0 digits and this 0 corresponds to the starting 0 of the sequence.
The next odd term is 5; between 3 and 5 there is 1 digit [which is 2] and this 1 corresponds to the second term of the sequence.
The next odd term is 7; between 5 and 7 there are 3 digits [which are 4, 6 and 8] and this 3 corresponds to the third term of the sequence.
The next odd term is 9; between 7 and 9 there are 2 digits [which are 1 and 0] and this 2 corresponds to the fourth term of the sequence.
The next odd term is 11; between 9 and 11 there are 5 digits [which are 1, 2, 1, 0 and 0] and this 5 corresponds to the fifth term of the sequence. Etc.

Crossrefs

Sequence in context: A379471 A193231 A191672 * A273865 A286294 A117303

Adjacent sequences: A273873 A273874 A273875 * A273877 A273878 A273879

Keyword

nonn,base

Author

Eric Angelini, Jun 02 2016

Status

approved