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

0,3

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.

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

Formula

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

Example

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.

Prog

(PARI) See Links section.

Crossrefs

See A333658, A337305 and A337598 for similar sequences.

See A331274 for the binary variant.

Cf. A007953, A055642, A321474, A336956.

Sequence in context: A064222 A261294 A321474 * A336956 A352152 A225805

Adjacent sequences: A333656 A333657 A333658 * A333660 A333661 A333662

Keyword

nonn,look,base

Author

Rémy Sigrist, Sep 02 2020

Status

approved