A278861 Start with a(1)=0; thereafter, between two successive digits "3" there are 0, then 1, then 2, then 3, ... other digits.

0, 1, 2, 3, 30, 31, 4, 32, 5, 6, 34, 7, 8, 9, 35, 10, 11, 36, 12, 14, 13, 15, 16, 17, 23, 18, 19, 20, 21, 37, 22, 24, 25, 26, 38, 27, 28, 29, 40, 43, 41, 42, 44, 45, 46, 53, 47, 48, 49, 50, 51, 52, 39, 54, 55, 56, 57, 58, 59, 300, 60, 61, 62, 64, 65, 66, 301, 67, 68, 69, 70, 71, 72, 63, 74, 75, 76, 77, 78, 79, 80, 81, 302, 82, 84, 85, 86, 87, 88, 89, 73, 90, 91, 92, 94, 95, 96, 97, 98, 99, 304, 100, 101, 102, 104, 105, 103, 106, 107, 108

Offset

1,3

Comments

The sequence starts with a(1) = 0 and is always extended with the smallest integer not yet present that does not lead to a contradiction.

Links

Jean-Marc Falcoz, Table of n, a(n) for n = 1..1055

Example

There are 0 digit between "3" and "30"; there is 1 digit between the "3" of "30" and the "3" of "31" (this is the "0" of "30"); there are 2 digits between the "3" of "31" and the "3" of "32" (they are the "1" of "31" and "4" of "4"); there are 3 digits between the "3" of "32" and the "3" of "34" (they are the "2" of "32", the "5" of "5" and the "6" of "6"); etc.

Crossrefs

Sequence in context: A210417 A278048 A273467 * A303158 A024631 A032814

Adjacent sequences: A278858 A278859 A278860 * A278862 A278863 A278864

Keyword

nonn,base

Author

Eric Angelini and Jean-Marc Falcoz, Nov 29 2016

Extensions

Recalculation of the sequence by Jean-Marc Falcoz following the (sound) remark by Charles R Greathouse IV

Status

approved