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A109297 Primal codes of finite permutations on positive integers. +0
2
1, 2, 9, 12, 18, 40, 112, 125, 250, 352, 360, 540, 600, 675, 832, 1008, 1125, 1350, 1500, 2176, 2250, 2268, 2352, 2401, 3168, 3969, 4802, 4864, 7488, 7938, 10692, 11616, 11776, 14000, 19584, 21609, 27440, 28812, 29403, 29696, 32448, 35000, 37908 (list; graph; listen)
OFFSET

0,2

COMMENT

A finite permutation is a bijective mapping from a finite set to itself, counting the empty mapping as a permutation of the empty set.

EXAMPLE

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

Primal Codes of Finite Permutations on Positive Integers

` ` ` 1 = { }

` ` ` 2 = 1:1

` ` ` 9 = 2:2

` ` `12 = 1:2 2:1

` ` `18 = 1:1 2:2

` ` `40 = 1:3 3:1

` ` 112 = 1:4 4:1

` ` 125 = 3:3

` ` 250 = 1:1 3:3

` ` 352 = 1:5 5:1

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

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

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

` ` 675 = 2:3 3:2

` ` 832 = 1:6 6:1

` `1008 = 1:4 2:2 4:1

` `1125 = 2:2 3:3

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

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

` `2176 = 1:7 7:1

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

CROSSREFS

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

Adjacent sequences: A109294 A109295 A109296 this_sequence A109298 A109299 A109300

Sequence in context: A124742 A050855 A031070 this_sequence A048768 A070226 A129829

KEYWORD

nonn

AUTHOR

Jon Awbrey (jawbrey(AT)att.net), Jul 08 2005

EXTENSIONS

More terms from Frank Adams-Watters (FrankTAW(AT)Netscape.net), Dec 19 2005

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.


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