A333659 a(n) is the greatest number m not yet in the sequence such that the decimal expansions of n and of m have the same digits (up to order but with multiplicity).

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, Sep 02 2020

Keywords

• nonn
• look
• base

Comments

Leading 0's are ignored.

This sequence is a permutation of the nonnegative integers, which preserves the number of digits (A055642) and the sum of digits (A007953).

This sequence first differs from A321474 and A336956 for n = 101: a(101) = 110 whereas A321474(101) = A336956(101) = 101.

Examples

			For n = 255:
- there are three numbers with the same multiset of digits: 255, 525 and 552,
- so a(255) = 552,
     a(525) = 525,
     a(552) = 255.
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 0..10000
• Rémy Sigrist, PARI program for A333659
• Rémy Sigrist, Scatterplot of the first 1000000 terms
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

See A333658, A337305 and A337598 for similar sequences.

See A331274 for the binary variant.

Cf. A007953, A055642, A321474, A336956.

Programs

PARI

See Links section.

Formula

a(10^n) = 10^n for any n >= 0.