A273476 The successive numbers of digits between two "8"s in the sequence are given by the sequence itself.

0, 1, 2, 3, 4, 5, 6, 7, 8, 80, 81, 9, 82, 10, 83, 11, 18, 12, 13, 28, 14, 15, 16, 84, 17, 19, 20, 85, 21, 22, 23, 38, 24, 25, 26, 27, 29, 30, 31, 32, 33, 34, 35, 36, 37, 39, 40, 41, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54, 55, 56, 57, 59, 60, 61, 62, 63, 64, 65, 66, 67, 86, 69, 70, 71, 72, 73, 74, 75, 76, 77, 79, 90, 91, 92, 93, 94, 95, 96, 97, 99, 100, 101, 102, 103, 104, 105, 106, 107, 109, 110, 111, 112, 113, 114, 87, 115, 116, 108, 117, 119, 120, 121, 122, 123, 124, 125, 126, 127, 129, 130, 131, 132, 133, 134, 135, 136, 137, 139, 140, 141, 142, 143, 144, 145, 146, 48, 147, 149, 150, 58, 151, 152, 153, 154, 155, 156, 157, 159, 160, 161, 162, 163, 164

Offset

1,3

Comments

This is the lexicographically first such sequence, starting with a(1)=0; it is always extended with the smallest integer not already present in the sequence and not leading to a contradiction.

Links

Table of n, a(n) for n=1..155.

Example

There are 0 digits between the first two "8" of the sequence [0,1,2,3,4,5,6,7,8,80]; then there is 1 digit between the next pair of "8": [80,81]; then there are 2 digits between the next pair of "8": [81,9,82]; then there are 3 digits between the next pair of "8": [82,10,83]; then there are 4 digits between the next pair of "8": [83,11,18]; then there are 5 digits between the next pair of "8": [18,12,13,28], etc. The quantities 0, 1, 2, 3, 4, 5,... rebuild the starting sequence. The next "gaps" will thus contain 6 digits, then 7, then 8, then 80...

Crossrefs

Sequence in context: A237345 A024655 A250264 * A278943 A303167 A024656

Adjacent sequences: A273473 A273474 A273475 * A273477 A273478 A273479

Keyword

nonn,base

Author

Eric Angelini and Lars Blomberg, May 23 2016

Status

approved