Full text: The collected mathematical papers of Arthur Cayley, Sc.D., F.R.S., sadlerian professor of pure mathematics in the University of Cambridge (Vol. 2)

426 
A MEMOIR ON THE SYMMETRIC FUNCTIONS 
[147 
VIII (a). Runs on infra. 
8 
17 
26 
P6 
35 
125 
P5 
4 2 
134 
2 2 4 
P24 
P4 
23 2 
II 
i 
bh 
eg 
df 
bef 
b 3 f 
e 2 
bde 
c 2 e 
Pee 
b 4 e 
cd 2 
(8) 
(71) 
(62) 
(53) 
(U) 
(6P) 
(521) 
(431) 
(42 2 ) 
(3 2 2) 
+ 1 
(5P) 
+ 
1 
(42P) 
+ 1 
+ 
4 
(3 2 P) 
+ 1 
+ 2 
+ 
6 
+ 2 
(32 2 1) 
+ 1 
+ 2 
+ 5 
+ 
12 
+ 5 
(2 4 ) 
+ 1 
+ 4 
+ 6 
+ 12 
+ 
24 
+ 12 
(4P) 
+ 1 
+ 4 
_i_ 
17 
(32P) 
+ 1 
+ 3 
+ 3 
+ 7 
+ 18 
+ 
46 
+ 12 
(2 3 1 2 ) 
+ 1 
+ 3 
+ 6 
+ 2 
+ 11 
+ 18 
+ 39 
+ 
84 
+ 31 
(3P) 
+ 1 
+ 5 
+ 16 
+ 10 
+ 20 
+ 55 
+ 
140 
+ 30 
(2 2 P) 
+ 1 
+ 2 
+ 4 
+ 14 
+ '30 
+ 6 
+ 32 
+ 53 
+ 114 
+ 
246 
+ 80 
(21 6 ) 
+ 1 
+ 6 
+ 13 
+ 15 
+ 51 
+ 108 
+ 20 
+ 95 
+ 150 
+ 315 
+ 
660 
+ 210 
(P) 
+ 1 
+ 8 
+ 28 
+ 56 
+ 56 
+ 168 
+ 336 
+ 70 
+ 280 
+ 420 
+ 840 
+ 
1680 
+ 560 
II 
P3 2 
b 2 d 2 
12 2 3 
bc 2 d 
P23 
b 3 cd 
P3 
b 5 d 
2 4 
c 4 
P2 3 
Pc 3 
P2 2 
6V 
P2 
b tì c 
P 
6 8 
(8) 
+ 
1 
(71) 
+ 
i 
+ 
8 
(62) 
+ 
1 
+ 
6 
+ 
28 
(53) 
+ 
1 
+ 
4 
+ 
15 
+ 
56 
(4 2 ) 
+ 
l 
+ 
2 
+ 
6 
+ 
20 
+ 
70 
(6P) 
+ 
l 
+ 
2 
+ 
13 
+ 
56 
(521) 
+ 
1 
+ 
5 
+ 
3 
+ 
14 
+ 
51 
+ 
168 
(431) 
+ 
1 
4 
3 
+ 
10 
4* 
4 
+ 
11 
+ 
32 
+ 
95 
+ 
280 
(42 2 ) 
+ 
1 
+ 
2 
+ 
7 
+ 
20 
+ 
6 
+ 
18 
+ 
53 
+ 
150 
+ 
420 
(3 2 2) 
+ 
2 
+ 
5 
+ 
12 
+ 
30 
+ 
12 
+ 
31 
+ 
80 
+ 
210 
+ 
560 
(5P) 
+ 
3 
+ 
16 
+ 
6 
+ 
30 
+ 
108 
+ 
336 
(42P) 
+ 
2 
+ 
5 
4 
18 
4 
55 
+ 
12 
+ 
39 
+ 
114 
+ 
315 
+ 
840 
(3 2 P) 
+ 
4 
+ 
12 
+ 
30 
+ 
80 
+ 
28 
+ 
68 
+ 
172 
4* 
440 
+ 
1120 
(32 2 1) 
+ 
12 
24 
+ 
58 
+ 
140 
+ 
48 
+ 
117 
+ 
284 
+ 
690 
+ 
1680 
(2 4 ) 
+ 
28 
+ 
48 
+ 
108 
+ 
240 
+ 
90 
+ 
204 
+ 
468 
+ 
1080 
+ 
2520 
(4P) 
+ 
6 
+ 
12 
+ 
46 
+ 
140 
+ 
24 
+ 
84 
+ 
246 
+ 
660 
+ 
1680 
(32P) 
+ 
30 
+ 
58 
+ 
141 
+ 
340 
+ 
108 
+ 
258 
+ 
612 
+ 
1440 
+ 
3360 
(2 3 1 2 ) 
+ 
68 
+ 
117 
— 
258 
4- 
570 
+ 
204 
+ 
453 
+ 
1008 
+ 
2250 
+ 
5040 
(31 s ) 
+ 
80 
+ 
140 
+ 
340 
+ 
800 
+ 
240 
+ 
570 
+ 
1320 
+ 
3000 
+ 
6720 
(2 2 P) 
+ 
172 
+ 
284 
+ 
612 
+ 
1320 
+ 
468 
+ 
1008 
+ 
2172 
+ 
4680 
+ 
10080 
(21 6 ) 
+ 
440 
+ 
690 
+ 
1440 
+ 
3000 
+ 
1080 
+ 
2250 
+ 
4680 
+ 
9720 
+ 
20160 
(P) 
4 
1120 
+ 
1680 
4 
3360 
+ 
6720 
+ 
2520 
+ 
5040 
+ 
10080 
+ 
20160 
+ 
40320
	        
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