0,2

A canonical finite permutation on positive integers is a bijective mapping of [n] = {1, ..., n} to itself, counting the empty mapping as a permutation of the empty set.

Suggested by Franklin T. Adams-Watters

Writing (prime(i))^j as i:j, we have this table:

Primal Codes of Canonical Finite Permutations

` ` ` 1 = { }

` ` ` 2 = 1:1

` ` `12 = 1:2 2:1

` ` `18 = 1:1 2:2

` ` 360 = 1:3 2:2 3:1

` ` 540 = 1:2 2:3 3:1

` ` 600 = 1:3 2:1 3:2

` `1350 = 1:1 2:3 3:2

` `1500 = 1:2 2:1 3:3

` `2250 = 1:1 2:2 3:3

` 75600 = 1:4 2:3 3:2 4:1

`992250 = 1:1 2:4 3:3 4:2

`105840 = 1:4 2:3 3:1 4:2

`113400 = 1:3 2:4 3:2 4:1

`126000 = 1:4 2:2 3:3 4:1

`158760 = 1:3 2:4 3:1 4:2

`246960 = 1:4 2:2 3:1 4:3

`283500 = 1:2 2:4 3:3 4:1

`294000 = 1:4 2:1 3:3 4:2

`315000 = 1:3 2:2 3:4 4:1

`411600 = 1:4 2:1 3:2 4:3

`472500 = 1:2 2:3 3:4 4:1

`555660 = 1:2 2:4 3:1 4:3

`735000 = 1:3 2:1 3:4 4:2

`864360 = 1:3 2:2 3:1 4:4

1296540 = 1:2 2:3 3:1 4:4

1389150 = 1:1 2:4 3:2 4:3

1440600 = 1:3 2:1 3:2 4:4

1653750 = 1:1 2:3 3:4 4:2

2572500 = 1:2 2:1 3:4 4:3

3241350 = 1:1 2:3 3:2 4:4

3601500 = 1:2 2:1 3:3 4:4

3858750 = 1:1 2:2 3:4 4:3

5402250 = 1:1 2:2 3:3 4:4

Cf. A076954, A106177, A108352, A108371, A109297, A109298, A109301.

Sequence in context: A101074 A115109 A048001 this_sequence A073257 A011532 A043497

Adjacent sequences: A109296 A109297 A109298 this_sequence A109300 A109301 A109302

nonn

Jon Awbrey (jawbrey(AT)att.net), Jul 09 2005