login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A303171 Lexicographically earliest sequence of distinct terms such that the successive quantities of digits between two successive 9s are given by the succession of the sequence's digits itself. 9
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 90, 91, 19, 10, 29, 11, 12, 92, 13, 14, 93, 15, 16, 39, 17, 18, 20, 49, 21, 22, 23, 24, 94, 25, 26, 27, 28, 95, 30, 31, 32, 33, 99, 34, 35, 36, 37, 59, 69, 79, 38, 40, 41, 42, 89, 199, 43, 96, 44, 45, 46, 47, 97, 98, 909, 48, 900, 50, 51, 52, 190, 191, 901, 192, 902 (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..1210

EXAMPLE

There are:

0 digit  between the 9 of "9" and the 9 of "90";

1 digit  between the 9 of "90" and the 9 of "91";

2 digits between the 9 of "91" and the 9 of "19";

3 digits between the 9 of "19" and the 9 of "29";

4 digits between the 9 of "29" and the 9 of "92";

5 digits between the 9 of "92" and the 9 of "93";

6 digits between the 9 of "93" and the 9 of "39";

7 digits between the 9 of "39" and the 9 of "49";

8 digits between the 9 of "49" and the 9 of "94";

9 digits between the 9 of "94" and the 9 of "95";

9 digits between the 9 of "95" and the first 9 of "99";

0 digit  between the 9s of "99";

9 digits between the last 9 of "99" and the 9 of "59";

1 digit  between the 9 of "59" and the 9 of "69";

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 9s.

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, A303166 with 7s and A303167 with 8s.

Sequence in context: A239085 A273478 A278944 * A024664 A078188 A240511

Adjacent sequences:  A303168 A303169 A303170 * A303172 A303173 A303174

KEYWORD

nonn,base

AUTHOR

Eric Angelini and Jean-Marc Falcoz, Apr 19 2018

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 19 16:37 EST 2019. Contains 329323 sequences. (Running on oeis4.)