A069766 - cp's OEIS frontend

A069766 Self-inverse permutation of natural numbers induced by the automorphism RotateHandshakes180 (A069771) or xReflectHandshakes (A069772) acting on the symmetric parenthesizations encoded by A061855.

n	a(n)
0	0
1	1
2	2
3	3
4	5
5	4
6	6
7	7
8	11
9	9
10	10
11	8
12	12
13	17
14	14
15	21
16	19
17	13
18	20
19	16
20	18
21	15
22	22
23	23
24	37
25	29
26	33
27	27
28	41
29	25
30	39
31	31
32	32
33	26
34	40
35	35
36	36
37	24
38	38
39	30
40	34
41	28
42	42
43	57
44	47
45	72
46	64
47	44
48	68
49	54
50	61
51	51
52	76
53	59
54	49
55	74
56	66
57	43
58	67
59	53
60	60
61	50
62	75
63	70
64	46
65	71
66	56
67	58
68	48
69	73
70	63
71	65

[0, 1, 2, 3, 5, 4, 6, 7, 11, 9, 10, 8, 12, 17, 14, 21, 19, 13, 20, 16, 18, 15, 22, 23, 37, 29, 33, 27, 41, 25, 39, 31, 32, 26, 40, 35, 36, 24, 38, 30, 34, 28, 42, 57, 47, 72, 64, 44, 68, 54, 61, 51, 76, 59, 49, 74, 66, 43, 67, 53, 60, 50, 75, 70, 46, 71, 56, 58, 48, 73, 63, 65]

cp's OEIS Frontend

A069766 Self-inverse permutation of natural numbers induced by the automorphism RotateHandshakes180 (A069771) or xReflectHandshakes (A069772) acting on the symmetric parenthesizations encoded by A061855.

Table of values

List of values

n	a(n)
0	0
1	1
2	2
3	3
4	5
5	4
6	6
7	7
8	11
9	9
10	10
11	8
12	12
13	17
14	14
15	21
16	19
17	13
18	20
19	16
20	18
21	15
22	22
23	23
24	37
25	29
26	33
27	27
28	41
29	25
30	39
31	31
32	32
33	26
34	40
35	35
36	36
37	24
38	38
39	30
40	34
41	28
42	42
43	57
44	47
45	72
46	64
47	44
48	68
49	54
50	61
51	51
52	76
53	59
54	49
55	74
56	66
57	43
58	67
59	53
60	60
61	50
62	75
63	70
64	46
65	71
66	56
67	58
68	48
69	73
70	63
71	65

n	a(n)
0	0
1	1
2	2
3	3
4	5
5	4
6	6
7	7
8	11
9	9
10	10
11	8
12	12
13	17
14	14
15	21
16	19
17	13
18	20
19	16
20	18
21	15
22	22
23	23
24	37
25	29
26	33
27	27
28	41
29	25
30	39
31	31
32	32
33	26
34	40
35	35
36	36
37	24
38	38
39	30
40	34
41	28
42	42
43	57
44	47
45	72
46	64
47	44
48	68
49	54
50	61
51	51
52	76
53	59
54	49
55	74
56	66
57	43
58	67
59	53
60	60
61	50
62	75
63	70
64	46
65	71
66	56
67	58
68	48
69	73
70	63
71	65

n	a(n)
0	0
1	1
2	2
3	3
4	5
5	4
6	6
7	7
8	11
9	9
10	10
11	8
12	12
13	17
14	14
15	21
16	19
17	13
18	20
19	16
20	18
21	15
22	22
23	23
24	37
25	29
26	33
27	27
28	41
29	25
30	39
31	31
32	32
33	26
34	40
35	35
36	36
37	24
38	38
39	30
40	34
41	28
42	42
43	57
44	47
45	72
46	64
47	44
48	68
49	54
50	61
51	51
52	76
53	59
54	49
55	74
56	66
57	43
58	67
59	53
60	60
61	50
62	75
63	70
64	46
65	71
66	56
67	58
68	48
69	73
70	63
71	65