A306726 - cp's OEIS frontend

A306726 a(n) = Sum_{i=1..n} f_i(0), where f_i is the i-th of all functions that are representable as x^x^...^x with m>=1 x's and parentheses inserted in all possible ways, with conventions that 0^0=1^0=1^1=1, 0^1=0.

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

[0, 1, 2, 2, 3, 4, 4, 5, 6, 7, 7, 8, 9, 9, 9, 10, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 19, 20, 20, 20, 21, 21, 21, 22, 23, 23, 24, 25, 26, 27, 27, 28, 29, 30, 31, 31, 32, 33, 34, 34, 35, 35, 36, 37, 38, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 47, 47, 47, 47]

cp's OEIS Frontend

A306726 a(n) = Sum_{i=1..n} f_i(0), where f_i is the i-th of all functions that are representable as x^x^...^x with m>=1 x's and parentheses inserted in all possible ways, with conventions that 0^0=1^0=1^1=1, 0^1=0.

Table of values

List of values

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

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

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