A322168 - cp's OEIS frontend

A322168 Sequence gives the values of the trace A+D of the 2 X 2 matrices [[A,B],[C,D]] in a binary tree of the special linear monoid, SL(2,Z+).

n	a(n)
1	2
2	2
3	2
4	2
5	3
6	3
7	2
8	2
9	4
10	4
11	4
12	4
13	4
14	4
15	2
16	2
17	5
18	5
19	6
20	5
21	7
22	6
23	5
24	5
25	6
26	7
27	5
28	6
29	5
30	5
31	2
32	2
33	6
34	6
35	8
36	6
37	10
38	8
39	8
40	6
41	10
42	10
43	10
44	8
45	10
46	8
47	6
48	6
49	8
50	10
51	8
52	10
53	10
54	10
55	6
56	8
57	8
58	10
59	6
60	8
61	6
62	6
63	2
64	2
65	7
66	7
67	10
68	7
69	13
70	10
71	11
72	7
73	14
74	13
75	15
76	10
77	15
78	11
79	10
80	7
81	13
82	14
83	15
84	13
85	18
86	15
87	13
88	10
89	15
90	15
91	14
92	11
93	13
94	10
95	7
96	7
97	10
98	13
99	11
100	14
101	15
102	15
103	10
104	13
105	15
106	18
107	13
108	15
109	14
110	13
111	7
112	10
113	11
114	15
115	10
116	15
117	13
118	14
119	7
120	11
121	10
122	13
123	7
124	10
125	7
126	7
127	2

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

cp's OEIS Frontend

A322168 Sequence gives the values of the trace A+D of the 2 X 2 matrices [[A,B],[C,D]] in a binary tree of the special linear monoid, SL(2,Z+).

Table of values

List of values

n	a(n)
1	2
2	2
3	2
4	2
5	3
6	3
7	2
8	2
9	4
10	4
11	4
12	4
13	4
14	4
15	2
16	2
17	5
18	5
19	6
20	5
21	7
22	6
23	5
24	5
25	6
26	7
27	5
28	6
29	5
30	5
31	2
32	2
33	6
34	6
35	8
36	6
37	10
38	8
39	8
40	6
41	10
42	10
43	10
44	8
45	10
46	8
47	6
48	6
49	8
50	10
51	8
52	10
53	10
54	10
55	6
56	8
57	8
58	10
59	6
60	8
61	6
62	6
63	2
64	2
65	7
66	7
67	10
68	7
69	13
70	10
71	11
72	7
73	14
74	13
75	15
76	10
77	15
78	11
79	10
80	7
81	13
82	14
83	15
84	13
85	18
86	15
87	13
88	10
89	15
90	15
91	14
92	11
93	13
94	10
95	7
96	7
97	10
98	13
99	11
100	14
101	15
102	15
103	10
104	13
105	15
106	18
107	13
108	15
109	14
110	13
111	7
112	10
113	11
114	15
115	10
116	15
117	13
118	14
119	7
120	11
121	10
122	13
123	7
124	10
125	7
126	7
127	2

n	a(n)
1	2
2	2
3	2
4	2
5	3
6	3
7	2
8	2
9	4
10	4
11	4
12	4
13	4
14	4
15	2
16	2
17	5
18	5
19	6
20	5
21	7
22	6
23	5
24	5
25	6
26	7
27	5
28	6
29	5
30	5
31	2
32	2
33	6
34	6
35	8
36	6
37	10
38	8
39	8
40	6
41	10
42	10
43	10
44	8
45	10
46	8
47	6
48	6
49	8
50	10
51	8
52	10
53	10
54	10
55	6
56	8
57	8
58	10
59	6
60	8
61	6
62	6
63	2
64	2
65	7
66	7
67	10
68	7
69	13
70	10
71	11
72	7
73	14
74	13
75	15
76	10
77	15
78	11
79	10
80	7
81	13
82	14
83	15
84	13
85	18
86	15
87	13
88	10
89	15
90	15
91	14
92	11
93	13
94	10
95	7
96	7
97	10
98	13
99	11
100	14
101	15
102	15
103	10
104	13
105	15
106	18
107	13
108	15
109	14
110	13
111	7
112	10
113	11
114	15
115	10
116	15
117	13
118	14
119	7
120	11
121	10
122	13
123	7
124	10
125	7
126	7
127	2

n	a(n)
1	2
2	2
3	2
4	2
5	3
6	3
7	2
8	2
9	4
10	4
11	4
12	4
13	4
14	4
15	2
16	2
17	5
18	5
19	6
20	5
21	7
22	6
23	5
24	5
25	6
26	7
27	5
28	6
29	5
30	5
31	2
32	2
33	6
34	6
35	8
36	6
37	10
38	8
39	8
40	6
41	10
42	10
43	10
44	8
45	10
46	8
47	6
48	6
49	8
50	10
51	8
52	10
53	10
54	10
55	6
56	8
57	8
58	10
59	6
60	8
61	6
62	6
63	2
64	2
65	7
66	7
67	10
68	7
69	13
70	10
71	11
72	7
73	14
74	13
75	15
76	10
77	15
78	11
79	10
80	7
81	13
82	14
83	15
84	13
85	18
86	15
87	13
88	10
89	15
90	15
91	14
92	11
93	13
94	10
95	7
96	7
97	10
98	13
99	11
100	14
101	15
102	15
103	10
104	13
105	15
106	18
107	13
108	15
109	14
110	13
111	7
112	10
113	11
114	15
115	10
116	15
117	13
118	14
119	7
120	11
121	10
122	13
123	7
124	10
125	7
126	7
127	2