A302943 Lexicographically earliest sequence of distinct terms such that the successive quantities of digits between two successive 4s are given by the succession of the sequence's digits itself.

0, 1, 2, 3, 4, 40, 41, 5, 42, 6, 7, 43, 8, 9, 14, 10, 11, 44, 12, 13, 45, 46, 15, 16, 47, 17, 24, 18, 48, 19, 20, 34, 21, 22, 23, 54, 25, 26, 49, 27, 400, 28, 29, 30, 401, 31, 32, 33, 64, 74, 35, 36, 404, 414, 84, 37, 38, 402, 39, 424, 50, 434, 51, 94, 52, 53, 403, 55, 140, 56, 141, 57, 58, 142, 405

Offset

1,3

Links

Jean-Marc Falcoz, Table of n, a(n) for n = 1..1504

Example

There are:
0 digits between the 4 of "4" and the 4 of "40";
1 digit  between the 4 of "40" and the 4 of "41";
2 digits between the 4 of "41" and the 4 of "42";
3 digits between the 4 of "42" and the 4 of "43";
4 digits between the 4 of "43" and the 4 of "14";
4 digits between the 4 of "14" and the first 4 of "44";
0 digits between the 4s of "4";
4 digits between the last 4 of "44" and the 4 of "45";
1 digit  between the 4 of "45" and the 4 of "46";
5 digits between the 4 of "46" and the 4 of "47";
4 digits between the 4 of "47" and the 4 of "24";
2 digits between the 4 of "24" and the 4 of "47";
etc.
We see that the first column here is the succession of the digits of the sequence, as well as the size of each chunk of digits between two successive 4s.

Crossrefs

Cf. A303151 for the same idea with 1s as chunk's separators, A303157 with 2s, A303158 with 3s, A303163 with 5s, A303164 with 6s, A303166 with 7s, A303167 with 8s and A303171 with 9s.

Sequence in context: A375477 A273469 A278939 * A037326 A024634 A134305

Adjacent sequences: A302940 A302941 A302942 * A302944 A302945 A302946

Keyword

nonn,base

Author

Eric Angelini and Jean-Marc Falcoz, Apr 19 2018

Status

approved