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A109299 Primal codes of canonical finite permutations on positive integers. 0
1, 2, 12, 18, 360, 540, 600, 1350, 1500, 2250, 75600, 992250, 105840, 113400, 126000, 158760, 246960, 283500, 294000, 315000, 411600, 472500, 555660, 735000, 864360, 1296540, 1389150, 1440600, 1653750, 2572500, 3241350, 3601500, 3858750 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

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.

REFERENCES

Suggested by Franklin T. Adams-Watters

LINKS

Table of n, a(n) for n=0..32.

J. Awbrey, Riffs and Rotes

EXAMPLE

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

CROSSREFS

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

Sequence in context: A101074 A115109 A048001 * A216629 A259409 A073257

Adjacent sequences:  A109296 A109297 A109298 * A109300 A109301 A109302

KEYWORD

nonn

AUTHOR

Jon Awbrey, Jul 09 2005

STATUS

approved

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Last modified January 21 13:54 EST 2020. Contains 331113 sequences. (Running on oeis4.)