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)

A MEMOIR ON THE SYMMETRIC FUNCTIONS 
II 
1 4 23 
Vcd 
1 6 3 
b e d 
12 4 
6c 4 
1 3 2 3 
b 3 c 3 
1 5 2 2 
b 5 c 2 
1 7 2 
b 7 c 
l 9 
b 9 
(9) 
- 
1 
(81) 
- 
1 
- 
9 
(72) 
- 
1 
- 
7 
36 
(63) 
- 
1 
- 
5 
- 
21 
84 
(54) 
- 
1 
- 
3 
- 
10 
- 
35 
126 
(7P) 
- 
1 
- 
2 
15 
- 
72 
(621) 
1 
- 
6 
3 
- 
17 
- 
70 
- 
252 
(531) 
4 
- 
15 
- 
4 
- 
15 
- 
50 
161 
- 
504 
(PI) 
6 
- 
20 
- 
9 
- 
24 
- 
70 
210 
- 
630 
(52 2 ) 
9 
30 
- 
6 
- 
24 
- 
81 
- 
252 
- 
756 
(432) 
22 
- 
60 
- 
22 
- 
60 
- 
165 
- 
455 
- 
1260 
(3 3 ) 
36 
- 
90 
- 
36 
- 
93 
- 
240 
- 
630 
- 1680 
(6P) 
3 
- 
19 
- 
6 
36 
- 
147 
- 
504 
(521 2 ) 
23 
- 
81 
- 
12 
- 
51 
- 
172 
- 
525 
- 
1512 
(431 s ) 
54 
- 
155 
- 
48 
- 
129 
- 
350 
— 
945 
- 
2520 
(42 2 1) 
- 101 
- 270 
- 
78 
- 
213 
- 565 
- 
1470 
- 
3780 
(3 2 21) 
- 158 
- 390 
- 
136 
- 
333 
- 820 
- 
2030 
- 
5040 
(32 3 ) 
- 282 
- 
660 
- 
234 
- 
555 
- 
1320 
- 
3150 
- 
7560 
(51 4 ) 
58 
- 
204 
- 
24 
- 
108 
- 
366 
- 
1092 
- 
3024 
(421 3 ) 
- 241 
- 
645 
- 
168 
- 
459 
- 1200 
- 
3045 
— 
7560 
(3 2 1 3 ) 
- 372 
- 
920 
- 
300 
- 
720 
- 
1740 
- 
4200 
- 
10080 
(32 2 1 2 ) 
- 656 
- 
1530 
- 
516 
- 
1203 
- 
2800 
- 
6510 
- 
15120 
(2 4 1) 
- 1140 
- 
2520 
- 906 
- 
2016 
- 
4500 
- 
10080 
- 
22680 
(41 5 ) 
- 570 
- 
1500 
- 
360 
- 
990 
- 
2550 
- 
6300 
- 
15120 
(321 4 ) 
- 1516 
- 
3480 
- 
1140 
- 
2610 
- 5940 
- 
13440 
- 
30240 
(2 3 1 3 ) 
- 2610 
- 
5670 
- 
2016 
- 
4383 
- 
9540 
- 
20790 
- 
45360 
(3P) 
- 3480 
- 
7800 
- 2520 
- 
5670 
- 
12600 
- 27720 
- 
60480 
(2 2 1 5 ) 
- 5940 
- 
12600 
- 
4500 
- 
9540 
- 20220 
- 42840 
- 
90720 
(2P) 
- 13440 
- 
27720 
- 
10080 
- 20790 
- 
42840 
- 
88200 
- 
181440 
(P) 
- 30240 
- 
60480 
22680 
- 
45360 
- 
90720 
- 
181440 
- 
362880
	        
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