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A303166 Lexicographically earliest sequence of distinct terms such that the successive quantities of digits between two successive 7s are given by the succession of the sequence's digits itself. 9
0, 1, 2, 3, 4, 5, 6, 7, 70, 71, 8, 72, 9, 17, 10, 11, 73, 12, 13, 74, 14, 15, 27, 16, 18, 19, 37, 20, 21, 22, 47, 75, 23, 24, 25, 76, 78, 26, 28, 29, 57, 30, 31, 32, 67, 33, 79, 34, 35, 36, 38, 707, 39, 40, 41, 87, 97, 717, 170, 42, 43, 44, 700, 171, 701, 727, 45, 172, 46, 48, 49, 702, 50, 737, 51 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

The sequence starts with a(1) = 0 and is always extended with the smallest integer not yet present that doesn't lead to a contradiction. This sequence is a permutation of the numbers >= 0.

LINKS

Jean-Marc Falcoz, Table of n, a(n) for n = 1..1208

EXAMPLE

There are:

0 digit  between the 7 of "7" and the 7 of "70";

1 digit  between the 7 of "70" and the 7 of "71";

2 digits between the 7 of "71" and the 7 of "72";

3 digits between the 7 of "72" and the 7 of "17";

4 digits between the 7 of "17" and the 7 of "73";

5 digits between the 7 of "73" and the 7 of "74";

6 digits between the 7 of "74" and the 7 of "27";

7 digits between the 7 of "27" and the 7 of "37";

7 digits between the 7 of "37" and the 7 of "47";

0 digit  between the 7 of "47" and the 7 of "75";

7 digits between the 7 of "75" and the 7 of "76";

1 digit  between the 7 of "76" and the 7 of "78";

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 7s.

CROSSREFS

Cf. A303151 for the same idea with 1s as chunk's separators, A303157 with 2s, A303158 with 3s, A302943 with 4s, A303163 with 5s, A303164 with 6s, A303167 with 8s and A303171 with 9s.

Sequence in context: A044909 A273475 A278942 * A024649 A037335 A028429

Adjacent sequences:  A303163 A303164 A303165 * A303167 A303168 A303169

KEYWORD

nonn,base

AUTHOR

Eric Angelini and Jean-Marc Falcoz, Apr 19 2018

STATUS

approved

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Last modified July 24 05:21 EDT 2019. Contains 325290 sequences. (Running on oeis4.)