A137686 - cp's OEIS frontend

A137686 a(n) = Bigomega(Catalan(n)) - round( 3 n /(2 log(n+2))) (= A081399 - A137687).

n	a(n)
0	0
1	-1
2	-1
3	-2
4	-1
5	-1
6	0
7	-2
8	-1
9	-2
10	-1
11	-1
12	-1
13	0
14	1
15	-1
16	0
17	-1
18	1
19	0
20	0
21	0
22	1
23	0
24	0
25	1
26	0
27	-1
28	1
29	0
30	1
31	-2
32	-1
33	0
34	0
35	-2
36	-1
37	-1
38	1
39	-1
40	0
41	2
42	2
43	2
44	2
45	1
46	3
47	1
48	2
49	0
50	2
51	1
52	1
53	1
54	1
55	-1
56	-1
57	-1
58	1
59	0
60	2
61	3
62	3
63	0
64	0
65	0
66	1
67	0
68	3
69	2
70	2
71	0
72	2
73	3
74	3
75	2
76	2
77	3
78	4
79	1
80	0
81	1
82	1
83	1
84	1
85	1
86	3
87	1
88	4
89	2
90	2
91	1
92	2
93	2
94	3
95	2
96	3
97	1
98	2
99	0
100	1
101	0
102	2
103	1
104	2
105	2
106	3
107	1
108	3
109	2
110	3
111	1
112	2
113	3
114	3
115	2
116	3

[0, -1, -1, -2, -1, -1, 0, -2, -1, -2, -1, -1, -1, 0, 1, -1, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1, 0, -1, 1, 0, 1, -2, -1, 0, 0, -2, -1, -1, 1, -1, 0, 2, 2, 2, 2, 1, 3, 1, 2, 0, 2, 1, 1, 1, 1, -1, -1, -1, 1, 0, 2, 3, 3, 0, 0, 0, 1, 0, 3, 2, 2, 0, 2, 3, 3, 2, 2, 3, 4, 1, 0, 1, 1, 1, 1, 1, 3, 1, 4, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 0, 1, 0, 2, 1, 2, 2, 3, 1, 3, 2, 3, 1, 2, 3, 3, 2, 3]

cp's OEIS Frontend

A137686 a(n) = Bigomega(Catalan(n)) - round( 3 n /(2 log(n+2))) (= A081399 - A137687).

Table of values

List of values

n	a(n)
0	0
1	-1
2	-1
3	-2
4	-1
5	-1
6	0
7	-2
8	-1
9	-2
10	-1
11	-1
12	-1
13	0
14	1
15	-1
16	0
17	-1
18	1
19	0
20	0
21	0
22	1
23	0
24	0
25	1
26	0
27	-1
28	1
29	0
30	1
31	-2
32	-1
33	0
34	0
35	-2
36	-1
37	-1
38	1
39	-1
40	0
41	2
42	2
43	2
44	2
45	1
46	3
47	1
48	2
49	0
50	2
51	1
52	1
53	1
54	1
55	-1
56	-1
57	-1
58	1
59	0
60	2
61	3
62	3
63	0
64	0
65	0
66	1
67	0
68	3
69	2
70	2
71	0
72	2
73	3
74	3
75	2
76	2
77	3
78	4
79	1
80	0
81	1
82	1
83	1
84	1
85	1
86	3
87	1
88	4
89	2
90	2
91	1
92	2
93	2
94	3
95	2
96	3
97	1
98	2
99	0
100	1
101	0
102	2
103	1
104	2
105	2
106	3
107	1
108	3
109	2
110	3
111	1
112	2
113	3
114	3
115	2
116	3

n	a(n)
0	0
1	-1
2	-1
3	-2
4	-1
5	-1
6	0
7	-2
8	-1
9	-2
10	-1
11	-1
12	-1
13	0
14	1
15	-1
16	0
17	-1
18	1
19	0
20	0
21	0
22	1
23	0
24	0
25	1
26	0
27	-1
28	1
29	0
30	1
31	-2
32	-1
33	0
34	0
35	-2
36	-1
37	-1
38	1
39	-1
40	0
41	2
42	2
43	2
44	2
45	1
46	3
47	1
48	2
49	0
50	2
51	1
52	1
53	1
54	1
55	-1
56	-1
57	-1
58	1
59	0
60	2
61	3
62	3
63	0
64	0
65	0
66	1
67	0
68	3
69	2
70	2
71	0
72	2
73	3
74	3
75	2
76	2
77	3
78	4
79	1
80	0
81	1
82	1
83	1
84	1
85	1
86	3
87	1
88	4
89	2
90	2
91	1
92	2
93	2
94	3
95	2
96	3
97	1
98	2
99	0
100	1
101	0
102	2
103	1
104	2
105	2
106	3
107	1
108	3
109	2
110	3
111	1
112	2
113	3
114	3
115	2
116	3

n	a(n)
0	0
1	-1
2	-1
3	-2
4	-1
5	-1
6	0
7	-2
8	-1
9	-2
10	-1
11	-1
12	-1
13	0
14	1
15	-1
16	0
17	-1
18	1
19	0
20	0
21	0
22	1
23	0
24	0
25	1
26	0
27	-1
28	1
29	0
30	1
31	-2
32	-1
33	0
34	0
35	-2
36	-1
37	-1
38	1
39	-1
40	0
41	2
42	2
43	2
44	2
45	1
46	3
47	1
48	2
49	0
50	2
51	1
52	1
53	1
54	1
55	-1
56	-1
57	-1
58	1
59	0
60	2
61	3
62	3
63	0
64	0
65	0
66	1
67	0
68	3
69	2
70	2
71	0
72	2
73	3
74	3
75	2
76	2
77	3
78	4
79	1
80	0
81	1
82	1
83	1
84	1
85	1
86	3
87	1
88	4
89	2
90	2
91	1
92	2
93	2
94	3
95	2
96	3
97	1
98	2
99	0
100	1
101	0
102	2
103	1
104	2
105	2
106	3
107	1
108	3
109	2
110	3
111	1
112	2
113	3
114	3
115	2
116	3