A130369 - cp's OEIS frontend

A130369 Signature permutation of a Catalan automorphism: apply A074679 to the root and recurse down the cdr-spine (the right-hand side edge of a binary tree) as long as the binary tree rotation is possible and if the top-level length (A057515(n)) is odd, then apply A069770 to the last branch-point.

n	a(n)
0	0
1	1
2	3
3	2
4	6
5	7
6	8
7	4
8	5
9	15
10	14
11	16
12	17
13	18
14	19
15	20
16	21
17	9
18	10
19	22
20	11
21	12
22	13
23	39
24	40
25	41
26	37
27	38
28	43
29	42
30	44
31	45
32	46
33	47
34	48
35	49
36	50
37	52
38	51
39	53
40	54
41	55
42	56
43	57
44	58
45	23
46	24
47	59
48	25
49	26
50	27
51	60
52	61
53	62
54	28
55	29
56	63
57	30
58	31
59	32
60	64
61	33
62	34
63	35
64	36
65	113
66	112
67	114
68	115
69	116

[0, 1, 3, 2, 6, 7, 8, 4, 5, 15, 14, 16, 17, 18, 19, 20, 21, 9, 10, 22, 11, 12, 13, 39, 40, 41, 37, 38, 43, 42, 44, 45, 46, 47, 48, 49, 50, 52, 51, 53, 54, 55, 56, 57, 58, 23, 24, 59, 25, 26, 27, 60, 61, 62, 28, 29, 63, 30, 31, 32, 64, 33, 34, 35, 36, 113, 112, 114, 115, 116]

cp's OEIS Frontend

A130369 Signature permutation of a Catalan automorphism: apply A074679 to the root and recurse down the cdr-spine (the right-hand side edge of a binary tree) as long as the binary tree rotation is possible and if the top-level length (A057515(n)) is odd, then apply A069770 to the last branch-point.

Table of values

List of values

n	a(n)
0	0
1	1
2	3
3	2
4	6
5	7
6	8
7	4
8	5
9	15
10	14
11	16
12	17
13	18
14	19
15	20
16	21
17	9
18	10
19	22
20	11
21	12
22	13
23	39
24	40
25	41
26	37
27	38
28	43
29	42
30	44
31	45
32	46
33	47
34	48
35	49
36	50
37	52
38	51
39	53
40	54
41	55
42	56
43	57
44	58
45	23
46	24
47	59
48	25
49	26
50	27
51	60
52	61
53	62
54	28
55	29
56	63
57	30
58	31
59	32
60	64
61	33
62	34
63	35
64	36
65	113
66	112
67	114
68	115
69	116

n	a(n)
0	0
1	1
2	3
3	2
4	6
5	7
6	8
7	4
8	5
9	15
10	14
11	16
12	17
13	18
14	19
15	20
16	21
17	9
18	10
19	22
20	11
21	12
22	13
23	39
24	40
25	41
26	37
27	38
28	43
29	42
30	44
31	45
32	46
33	47
34	48
35	49
36	50
37	52
38	51
39	53
40	54
41	55
42	56
43	57
44	58
45	23
46	24
47	59
48	25
49	26
50	27
51	60
52	61
53	62
54	28
55	29
56	63
57	30
58	31
59	32
60	64
61	33
62	34
63	35
64	36
65	113
66	112
67	114
68	115
69	116

n	a(n)
0	0
1	1
2	3
3	2
4	6
5	7
6	8
7	4
8	5
9	15
10	14
11	16
12	17
13	18
14	19
15	20
16	21
17	9
18	10
19	22
20	11
21	12
22	13
23	39
24	40
25	41
26	37
27	38
28	43
29	42
30	44
31	45
32	46
33	47
34	48
35	49
36	50
37	52
38	51
39	53
40	54
41	55
42	56
43	57
44	58
45	23
46	24
47	59
48	25
49	26
50	27
51	60
52	61
53	62
54	28
55	29
56	63
57	30
58	31
59	32
60	64
61	33
62	34
63	35
64	36
65	113
66	112
67	114
68	115
69	116