A089840 - cp's OEIS frontend

A089840 Signature permutations of non-recursive Catalan automorphisms (i.e., bijections of finite plane binary trees, with no unlimited recursion down to indefinite distances from the root), sorted according to the minimum number of opening nodes needed in their defining clauses.

n	a(n)
0	0
1	1
2	0
3	2
4	1
5	0
6	3
7	3
8	1
9	0
10	4
11	2
12	2
13	1
14	0
15	5
16	7
17	3
18	2
19	1
20	0
21	6
22	8
23	4
24	3
25	2
26	1
27	0
28	7
29	6
30	6
31	5
32	3
33	2
34	1
35	0
36	8
37	4
38	5
39	4
40	5
41	3
42	2
43	1
44	0
45	9
46	5
47	7
48	6
49	6
50	6
51	3
52	2
53	1
54	0
55	10
56	17
57	8
58	7
59	4
60	5
61	6
62	3
63	2
64	1
65	0
66	11
67	18
68	9
69	8
70	7
71	4
72	4
73	4
74	3
75	2
76	1
77	0
78	12
79	20
80	10
81	12
82	8
83	7
84	5
85	5
86	4
87	3
88	2
89	1
90	0
91	13
92	21
93	14
94	13
95	12
96	8
97	7
98	6

[0, 1, 0, 2, 1, 0, 3, 3, 1, 0, 4, 2, 2, 1, 0, 5, 7, 3, 2, 1, 0, 6, 8, 4, 3, 2, 1, 0, 7, 6, 6, 5, 3, 2, 1, 0, 8, 4, 5, 4, 5, 3, 2, 1, 0, 9, 5, 7, 6, 6, 6, 3, 2, 1, 0, 10, 17, 8, 7, 4, 5, 6, 3, 2, 1, 0, 11, 18, 9, 8, 7, 4, 4, 4, 3, 2, 1, 0, 12, 20, 10, 12, 8, 7, 5, 5, 4, 3, 2, 1, 0, 13, 21, 14, 13, 12, 8, 7, 6]

cp's OEIS Frontend

A089840 Signature permutations of non-recursive Catalan automorphisms (i.e., bijections of finite plane binary trees, with no unlimited recursion down to indefinite distances from the root), sorted according to the minimum number of opening nodes needed in their defining clauses.

Table of values

List of values

n	a(n)
0	0
1	1
2	0
3	2
4	1
5	0
6	3
7	3
8	1
9	0
10	4
11	2
12	2
13	1
14	0
15	5
16	7
17	3
18	2
19	1
20	0
21	6
22	8
23	4
24	3
25	2
26	1
27	0
28	7
29	6
30	6
31	5
32	3
33	2
34	1
35	0
36	8
37	4
38	5
39	4
40	5
41	3
42	2
43	1
44	0
45	9
46	5
47	7
48	6
49	6
50	6
51	3
52	2
53	1
54	0
55	10
56	17
57	8
58	7
59	4
60	5
61	6
62	3
63	2
64	1
65	0
66	11
67	18
68	9
69	8
70	7
71	4
72	4
73	4
74	3
75	2
76	1
77	0
78	12
79	20
80	10
81	12
82	8
83	7
84	5
85	5
86	4
87	3
88	2
89	1
90	0
91	13
92	21
93	14
94	13
95	12
96	8
97	7
98	6

n	a(n)
0	0
1	1
2	0
3	2
4	1
5	0
6	3
7	3
8	1
9	0
10	4
11	2
12	2
13	1
14	0
15	5
16	7
17	3
18	2
19	1
20	0
21	6
22	8
23	4
24	3
25	2
26	1
27	0
28	7
29	6
30	6
31	5
32	3
33	2
34	1
35	0
36	8
37	4
38	5
39	4
40	5
41	3
42	2
43	1
44	0
45	9
46	5
47	7
48	6
49	6
50	6
51	3
52	2
53	1
54	0
55	10
56	17
57	8
58	7
59	4
60	5
61	6
62	3
63	2
64	1
65	0
66	11
67	18
68	9
69	8
70	7
71	4
72	4
73	4
74	3
75	2
76	1
77	0
78	12
79	20
80	10
81	12
82	8
83	7
84	5
85	5
86	4
87	3
88	2
89	1
90	0
91	13
92	21
93	14
94	13
95	12
96	8
97	7
98	6

n	a(n)
0	0
1	1
2	0
3	2
4	1
5	0
6	3
7	3
8	1
9	0
10	4
11	2
12	2
13	1
14	0
15	5
16	7
17	3
18	2
19	1
20	0
21	6
22	8
23	4
24	3
25	2
26	1
27	0
28	7
29	6
30	6
31	5
32	3
33	2
34	1
35	0
36	8
37	4
38	5
39	4
40	5
41	3
42	2
43	1
44	0
45	9
46	5
47	7
48	6
49	6
50	6
51	3
52	2
53	1
54	0
55	10
56	17
57	8
58	7
59	4
60	5
61	6
62	3
63	2
64	1
65	0
66	11
67	18
68	9
69	8
70	7
71	4
72	4
73	4
74	3
75	2
76	1
77	0
78	12
79	20
80	10
81	12
82	8
83	7
84	5
85	5
86	4
87	3
88	2
89	1
90	0
91	13
92	21
93	14
94	13
95	12
96	8
97	7
98	6