SEQ+# A109299 FROM Jon Awbrey

[Jon Awbrey]

%I A109299
%S A109299 1,2,12,18,360,540,600,1350,1500,2250,75600,992250,105840,113400,126000,
%T A109299 158760,246960,283500,294000,315000,411600,472500,555660,735000,864360,
%U A109299 1296540,1389150,1440600,1653750,2572500,3241350,3601500,3858750,5402250
%N A109299 Primal codes of canonical finite permutations on positive integers.
%C A109299 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.
%e A109299 Writing (prime(i))^j as i:j, we have this table:
%e A109299 Primal Codes of Canonical Finite Permutations
%e A109299 ` ` ` 1 = { }
%e A109299 ` ` ` 2 = 1:1
%e A109299 ` ` `12 = 1:2 2:1
%e A109299 ` ` `18 = 1:1 2:2
%e A109299 ` ` 360 = 1:3 2:2 3:1
%e A109299 ` ` 540 = 1:2 2:3 3:1
%e A109299 ` ` 600 = 1:3 2:1 3:2
%e A109299 ` `1350 = 1:1 2:3 3:2
%e A109299 ` `1500 = 1:2 2:1 3:3
%e A109299 ` `2250 = 1:1 2:2 3:3
%e A109299 ` 75600 = 1:4 2:3 3:2 4:1
%e A109299 `992250 = 1:1 2:4 3:3 4:2
%e A109299 `105840 = 1:4 2:3 3:1 4:2
%e A109299 `113400 = 1:3 2:4 3:2 4:1
%e A109299 `126000 = 1:4 2:2 3:3 4:1
%e A109299 `158760 = 1:3 2:4 3:1 4:2
%e A109299 `246960 = 1:4 2:2 3:1 4:3
%e A109299 `283500 = 1:2 2:4 3:3 4:1
%e A109299 `294000 = 1:4 2:1 3:3 4:2
%e A109299 `315000 = 1:3 2:2 3:4 4:1
%e A109299 `411600 = 1:4 2:1 3:2 4:3
%e A109299 `472500 = 1:2 2:3 3:4 4:1
%e A109299 `555660 = 1:2 2:4 3:1 4:3
%e A109299 `735000 = 1:3 2:1 3:4 4:2
%e A109299 `864360 = 1:3 2:2 3:1 4:4
%e A109299 1296540 = 1:2 2:3 3:1 4:4
%e A109299 1389150 = 1:1 2:4 3:2 4:3
%e A109299 1440600 = 1:3 2:1 3:2 4:4
%e A109299 1653750 = 1:1 2:3 3:4 4:2
%e A109299 2572500 = 1:2 2:1 3:4 4:3
%e A109299 3241350 = 1:1 2:3 3:2 4:4
%e A109299 3601500 = 1:2 2:1 3:3 4:4
%e A109299 3858750 = 1:1 2:2 3:4 4:3
%e A109299 5402250 = 1:1 2:2 3:3 4:4
%Y A109299 Cf. A076954, A106177, A108352, A108371, A109297, A109298, A109301.
%O A109299 0
%K A109299 nonn,new
%A A109299 Jon Awbrey (jawbrey(AT)att.net), Jul 09 2005
%E A109299 Suggested by Franklin T. Adams-Watters