A344183 - cp's OEIS frontend

A344183 Lexicographically earliest sequence of positive integers such that for any n > 0, the decimal expansion of a(n) contains the decimal expansion of k for k = 1..n and the decimal expansion of a(n+1) is obtained by replacing a possibly empty substring of the decimal expansion of a(n) by the binary expansion of n+1.

n	a(n)
1	1
2	12
3	123
4	1234
5	12345
6	123456
7	1234567
8	12345678
9	123456789
10	1023456789
11	11023456789
12	110123456789
13	1101213456789
14	11012131456789
15	110121314156789
16	1101213141516789
17	11012131415161789
18	110121314151617189
19	1101213141516171819
20	11012013141516171819

[1, 12, 123, 1234, 12345, 123456, 1234567, 12345678, 123456789, 1023456789, 11023456789, 110123456789, 1101213456789, 11012131456789, 110121314156789, 1101213141516789, 11012131415161789, 110121314151617189, 1101213141516171819, 11012013141516171819]

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List of values