A273463 The successive numbers of digits between two "1"s in the sequence are given by the sequence itself.

0, 1, 10, 12, 2, 3, 4, 5, 6, 7, 8, 9, 21, 20, 22, 23, 24, 25, 26, 13, 31, 27, 41, 28, 29, 14, 30, 32, 15, 33, 34, 51, 35, 36, 37, 61, 38, 39, 40, 42, 16, 43, 44, 45, 46, 17, 47, 48, 49, 50, 52, 53, 54, 55, 56, 57, 18, 58, 59, 60, 62, 63, 64, 65, 66, 67, 71, 68, 69, 70, 72, 73, 74, 75, 76, 77, 78, 79, 19, 80, 82, 83, 84, 85, 86, 87, 88, 89

Offset

1,3

Comments

This is the lexicographically first such sequence, starting with a(1)=0 that has always been 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..88.

Example

There are 0 digits between the first two "1" of the sequence [0,1,10,]; then there is 1 digit between the next pair of "1" [10,12,]; then there are 10 digits between the next pair of "1" [12,2,3,4,5,6,7,8,9,21]; then there are 12 digits between the next pair of "1" [21,20,22,23,24,25,26,13]; then there are 2 digits between the next pair of "1" [13,31], etc. The quantities 0, 1, 10, 12, 2,... rebuild the starting sequence.

Crossrefs

Sequence in context: A280138 A287875 A064795 * A283430 A278856 A316914

Adjacent sequences: A273460 A273461 A273462 * A273464 A273465 A273466

Keyword

nonn,base

Author

Eric Angelini, May 23 2016

Status

approved