

A275375


The odd digits in the sequence appear in blocks and the successive sizes of these blocks are given by the sequence itself.


1



1, 2, 3, 5, 4, 6, 7, 9, 10, 8, 11, 13, 12, 15, 17, 20, 19, 31, 33, 21, 35, 37, 39, 22, 23, 51, 53, 55, 57, 24, 25, 59, 71, 73, 75, 14, 26, 27, 77, 79, 91, 16, 28, 29, 93, 95, 97, 99, 110, 40, 41, 111, 113, 115, 117, 42, 43, 119, 131, 133, 112, 44, 45, 135, 137, 139, 151, 114, 46, 47, 153, 155, 157, 159, 171, 18, 48, 49, 173, 175, 177, 179, 191
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OFFSET

1,2


COMMENTS

This is the lexicographically first such sequence starting with a(1)=1 and being always extended with the smallest integer not yet present that doesn't lead to a contradiction.


LINKS

Eric Angelini, Table of n, a(n) for n = 1..1002


EXAMPLE

The blocks of odd digits are indicated here by parentheses; the successive blocksizes are 1, 2, 3, 5, 4, 6, 7,... which reproduces the sequence itself:
(1),2,(3,5),4,6,(7,9,1)0,8,(11,13,1)2,(15,17),20,(19,31,33),2(1,35,37,39),22,...


CROSSREFS

Cf. A275375.
Sequence in context: A105363 A279337 A279336 * A225047 A279338 A279348
Adjacent sequences: A275372 A275373 A275374 * A275376 A275377 A275378


KEYWORD

base,nonn


AUTHOR

Eric Angelini and JeanMarc Falcoz, Jul 25 2016


STATUS

approved



