A352152 Reverse each run of consecutive nonzero digits in the decimal expansion of n.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 21, 31, 41, 51, 61, 71, 81, 91, 20, 12, 22, 32, 42, 52, 62, 72, 82, 92, 30, 13, 23, 33, 43, 53, 63, 73, 83, 93, 40, 14, 24, 34, 44, 54, 64, 74, 84, 94, 50, 15, 25, 35, 45, 55, 65, 75, 85, 95, 60, 16, 26, 36, 46, 56, 66, 76

Offset: 0

Author

Rémy Sigrist, Mar 06 2022

Keywords

• nonn
• base
• easy

Comments

This sequence is a self-inverse permutation of the nonnegative integers.

This sequence first differs from A321474 for n = 102: a(102) = 102 whereas A321474(102) = 201.

This sequence first differs from A333659 for n = 101: a(101) = 101 whereas A333659(101) = 110.

This sequence first differs from A336956 for n = 102: a(102) = 102 whereas A336956(102) = 201.

Examples

			For n = 1024:
- we have two runs of consecutive nonzero digits: "1" and "24",
- the reverse of "1" is "1", that of "24" is "42",
- so a(1024) = 1042.
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 0..10000
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Cf. A321474, A333659, A336956.

Programs

Perl

sub a { my $v = shift; $v =~ s/[1-9]+/reverse($&)/ge; return $v; }

Python

from itertools import groupby
def A352152(n): return int(''.join(''.join(list(g) if k else list(g)[::-1]) for k, g in groupby(str(n),key=lambda x:x =='0'))) # Chai Wah Wu, Mar 08 2022

Formula

a(10*n) = 10*a(n).