A385116 Take the natural numbers, erase all occurrences of the digit "0," and shift all remaining digits leftward without changing the position of commas.

1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 11, 21, 31, 41, 51, 61, 71, 81, 92, 21, 22, 23, 24, 25, 26, 27, 28, 29, 33, 13, 23, 33, 43, 53, 63, 73, 83, 94, 41, 42, 43, 44, 45, 46, 47, 48, 49, 55, 15, 25, 35, 45, 55, 65, 75, 85, 96, 61, 62, 63, 64, 65, 66, 67, 68, 69, 77

Offset: 1

Author

Dominic McCarty, Jun 18 2025

Keywords

• nonn
• base
• look

Comments

a(1) = 1; digit stream is the same as that of A004719 and digit lengths A055642(a(n)) = A055642(n).

Examples

			Starting with:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, ...
Erase all zeros:
1, 2, 3, 4, 5, 6, 7, 8, 9, 1_, 11, 12, 13, 14, 15, 16, 17, 18, 19, 2_, 21, ...
Shift all remaining digits to the left:
1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 11, 21, 31, 41, 51, 61, 71, 81, 92, 21, 22, ...
		

Links

• Dominic McCarty, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A004719, A055642, A032762.

Programs

Python

from itertools import count
s = "".join(map(str,range(1,72))).replace("0","")
a, i, = [], 0
for k in count(1):
    if (j:=i+len(str(k))) > len(s): break
    a.append(int(s[i:j]))
    i = j
print(a)