A273479 The successive numbers of digits between two "0"s in the sequence are given by the sequence itself.

1, 0, 100, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 48, 49, 51, 52, 53, 54, 55, 56, 57, 58, 59, 110, 120, 61, 10, 62, 130, 63, 64, 20, 65, 66, 140, 67, 68, 69, 30, 71, 72, 73, 150, 74, 75, 76, 77, 40, 78, 79, 81, 82, 83, 50, 84, 85, 86, 87, 88, 160, 89, 91, 92, 93, 94, 95, 60, 96, 97, 98, 99, 111, 1110, 112, 113, 114, 115, 1120, 116, 117, 118, 119, 121, 70, 122, 123, 124, 125, 126, 170, 127, 128, 129, 131, 132, 1130, 133, 134, 135, 136, 137, 138, 80, 139, 141, 142, 143, 144, 145, 1140, 146, 147, 148, 149, 151, 152, 153, 90, 154, 155, 156, 157

Offset

1,3

Comments

This is the lexicographically first such sequence, starting with a(1)=1; it was 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 is 1 digit between the first two "0" of the sequence [1,0,100]; then there are 0 digits between the next pair of "0": [100]; then there are 100 digits between the next pair of "0": [100,2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,110]; then there are 2 digits between the next pair of "0": [110,120], etc. The quantities 1, 0, 100, 2,... rebuild the starting sequence. The next "gaps" will thus be of 3 digits, then 4, then 5...

Crossrefs

Sequence in context: A172179 A147804 A164847 * A333399 A069037 A371703

Adjacent sequences: A273476 A273477 A273478 * A273480 A273481 A273482

Keyword

nonn,base

Author

Eric Angelini and Lars Blomberg, May 23 2016

Status

approved