A175134 - cp's OEIS frontend

A175134 a(n) = number of pairs of permutations (p, q) of the same (arbitrary) size m such that f_m(f_{m-1}(...f_1(1)...)) = n, where f_i(x) = p_i*x + q_i.

n	a(n)
1	1
2	1
3	0
4	0
5	2
6	1
7	1
8	0
9	0
10	0
11	0
12	0
13	2
14	4
15	4
16	4
17	2
18	4
19	1
20	3
21	1
22	2
23	2
24	1
25	1
26	0
27	0
28	2
29	2
30	0
31	1
32	0
33	0
34	0
35	0
36	0
37	0
38	0
39	0
40	0
41	2
42	2
43	6
44	4
45	8
46	6
47	8
48	6
49	8
50	6
51	16
52	12
53	14
54	6
55	12
56	10
57	16
58	18
59	14
60	14
61	10
62	10
63	10
64	14
65	12
66	10
67	10
68	8
69	4
70	13
71	15
72	4
73	13
74	6
75	8
76	6
77	8
78	2
79	11
80	6
81	5
82	7
83	2
84	11
85	7
86	6
87	6
88	5
89	3
90	6
91	6
92	2
93	5
94	2
95	4
96	3
97	4
98	3
99	3
100	1
101	3
102	5
103	5
104	1
105	2
106	3
107	2
108	0
109	3
110	2
111	2
112	3
113	3
114	4
115	4
116	3
117	4
118	2
119	0
120	2
121	3
122	2
123	0
124	1
125	3
126	2
127	3
128	1
129	1
130	1
131	0
132	1
133	4
134	2
135	2
136	1
137	4
138	1
139	2
140	0
141	2
142	3
143	6
144	0
145	1
146	1
147	0
148	1
149	3
150	3
151	2
152	0
153	2
154	1
155	0
156	0
157	1
158	0
159	0
160	0
161	1
162	1
163	1
164	0
165	1
166	0
167	0
168	0
169	0
170	0

[1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 4, 4, 4, 2, 4, 1, 3, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 6, 4, 8, 6, 8, 6, 8, 6, 16, 12, 14, 6, 12, 10, 16, 18, 14, 14, 10, 10, 10, 14, 12, 10, 10, 8, 4, 13, 15, 4, 13, 6, 8, 6, 8, 2, 11, 6, 5, 7, 2, 11, 7, 6, 6, 5, 3, 6, 6, 2, 5, 2, 4, 3, 4, 3, 3, 1, 3, 5, 5, 1, 2, 3, 2, 0, 3, 2, 2, 3, 3, 4, 4, 3, 4, 2, 0, 2, 3, 2, 0, 1, 3, 2, 3, 1, 1, 1, 0, 1, 4, 2, 2, 1, 4, 1, 2, 0, 2, 3, 6, 0, 1, 1, 0, 1, 3, 3, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0]

cp's OEIS Frontend

A175134 a(n) = number of pairs of permutations (p, q) of the same (arbitrary) size m such that f_m(f_{m-1}(...f_1(1)...)) = n, where f_i(x) = p_i*x + q_i.

Table of values

List of values

n	a(n)
1	1
2	1
3	0
4	0
5	2
6	1
7	1
8	0
9	0
10	0
11	0
12	0
13	2
14	4
15	4
16	4
17	2
18	4
19	1
20	3
21	1
22	2
23	2
24	1
25	1
26	0
27	0
28	2
29	2
30	0
31	1
32	0
33	0
34	0
35	0
36	0
37	0
38	0
39	0
40	0
41	2
42	2
43	6
44	4
45	8
46	6
47	8
48	6
49	8
50	6
51	16
52	12
53	14
54	6
55	12
56	10
57	16
58	18
59	14
60	14
61	10
62	10
63	10
64	14
65	12
66	10
67	10
68	8
69	4
70	13
71	15
72	4
73	13
74	6
75	8
76	6
77	8
78	2
79	11
80	6
81	5
82	7
83	2
84	11
85	7
86	6
87	6
88	5
89	3
90	6
91	6
92	2
93	5
94	2
95	4
96	3
97	4
98	3
99	3
100	1
101	3
102	5
103	5
104	1
105	2
106	3
107	2
108	0
109	3
110	2
111	2
112	3
113	3
114	4
115	4
116	3
117	4
118	2
119	0
120	2
121	3
122	2
123	0
124	1
125	3
126	2
127	3
128	1
129	1
130	1
131	0
132	1
133	4
134	2
135	2
136	1
137	4
138	1
139	2
140	0
141	2
142	3
143	6
144	0
145	1
146	1
147	0
148	1
149	3
150	3
151	2
152	0
153	2
154	1
155	0
156	0
157	1
158	0
159	0
160	0
161	1
162	1
163	1
164	0
165	1
166	0
167	0
168	0
169	0
170	0

n	a(n)
1	1
2	1
3	0
4	0
5	2
6	1
7	1
8	0
9	0
10	0
11	0
12	0
13	2
14	4
15	4
16	4
17	2
18	4
19	1
20	3
21	1
22	2
23	2
24	1
25	1
26	0
27	0
28	2
29	2
30	0
31	1
32	0
33	0
34	0
35	0
36	0
37	0
38	0
39	0
40	0
41	2
42	2
43	6
44	4
45	8
46	6
47	8
48	6
49	8
50	6
51	16
52	12
53	14
54	6
55	12
56	10
57	16
58	18
59	14
60	14
61	10
62	10
63	10
64	14
65	12
66	10
67	10
68	8
69	4
70	13
71	15
72	4
73	13
74	6
75	8
76	6
77	8
78	2
79	11
80	6
81	5
82	7
83	2
84	11
85	7
86	6
87	6
88	5
89	3
90	6
91	6
92	2
93	5
94	2
95	4
96	3
97	4
98	3
99	3
100	1
101	3
102	5
103	5
104	1
105	2
106	3
107	2
108	0
109	3
110	2
111	2
112	3
113	3
114	4
115	4
116	3
117	4
118	2
119	0
120	2
121	3
122	2
123	0
124	1
125	3
126	2
127	3
128	1
129	1
130	1
131	0
132	1
133	4
134	2
135	2
136	1
137	4
138	1
139	2
140	0
141	2
142	3
143	6
144	0
145	1
146	1
147	0
148	1
149	3
150	3
151	2
152	0
153	2
154	1
155	0
156	0
157	1
158	0
159	0
160	0
161	1
162	1
163	1
164	0
165	1
166	0
167	0
168	0
169	0
170	0

n	a(n)
1	1
2	1
3	0
4	0
5	2
6	1
7	1
8	0
9	0
10	0
11	0
12	0
13	2
14	4
15	4
16	4
17	2
18	4
19	1
20	3
21	1
22	2
23	2
24	1
25	1
26	0
27	0
28	2
29	2
30	0
31	1
32	0
33	0
34	0
35	0
36	0
37	0
38	0
39	0
40	0
41	2
42	2
43	6
44	4
45	8
46	6
47	8
48	6
49	8
50	6
51	16
52	12
53	14
54	6
55	12
56	10
57	16
58	18
59	14
60	14
61	10
62	10
63	10
64	14
65	12
66	10
67	10
68	8
69	4
70	13
71	15
72	4
73	13
74	6
75	8
76	6
77	8
78	2
79	11
80	6
81	5
82	7
83	2
84	11
85	7
86	6
87	6
88	5
89	3
90	6
91	6
92	2
93	5
94	2
95	4
96	3
97	4
98	3
99	3
100	1
101	3
102	5
103	5
104	1
105	2
106	3
107	2
108	0
109	3
110	2
111	2
112	3
113	3
114	4
115	4
116	3
117	4
118	2
119	0
120	2
121	3
122	2
123	0
124	1
125	3
126	2
127	3
128	1
129	1
130	1
131	0
132	1
133	4
134	2
135	2
136	1
137	4
138	1
139	2
140	0
141	2
142	3
143	6
144	0
145	1
146	1
147	0
148	1
149	3
150	3
151	2
152	0
153	2
154	1
155	0
156	0
157	1
158	0
159	0
160	0
161	1
162	1
163	1
164	0
165	1
166	0
167	0
168	0
169	0
170	0