A273467 The successive numbers of digits between two "3"s in the sequence are given by the sequence itself.

0, 1, 2, 3, 30, 31, 4, 32, 5, 6, 34, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 35, 25, 26, 27, 28, 29, 40, 41, 42, 44, 45, 46, 47, 48, 49, 50, 36, 51, 13, 52, 54, 55, 56, 57, 58, 59, 60, 61, 62, 64, 65, 66, 67, 68, 69, 37, 70, 71, 38, 72, 74, 23, 75, 76, 77, 78, 79, 80, 81, 82, 84, 85, 86, 87, 88, 89, 90, 91, 92, 39, 94, 95, 96, 300, 97, 98, 99, 301, 100, 101, 43, 102, 104, 105, 53, 106, 107, 108, 103, 109, 110, 111, 112, 302, 114, 115, 116, 117, 304, 118, 119, 120, 121, 63, 122, 124, 125, 126, 127, 73, 128, 129, 140, 141, 142, 113, 144, 145, 146, 147, 148, 149, 305, 150

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..141.

Example

There are 0 digits between the first two "3" of the sequence [0,1,2,3,30]; then there is 1 digit between the next pair of "3": [30,31]; then there are 2 digits between the next pair of "3": [31,4,32]; then there are 3 digits between the next pair of "3": [32,5,6,34]; then there are 30 digits between the next pair of "3" [34,7,8,9,10,11,12,14,15,16,17,18,19,20,21,22,24,35], etc. The quantities 0, 1, 2, 3, 30,... rebuild the starting sequence.

Crossrefs

Sequence in context: A127615 A210417 A278048 * A278861 A303158 A024631

Adjacent sequences: A273464 A273465 A273466 * A273468 A273469 A273470

Keyword

nonn,base

Author

Eric Angelini and Lars Blomberg, May 23 2016

Status

approved