A197433 - cp's OEIS frontend

A197433 Sum of distinct Catalan numbers: a(n) = Sum_{k>=0} A030308(n,k)*C(k+1) where C(n) is the n-th Catalan number (A000108). (C(0) and C(1) not treated as distinct.)

n	a(n)
0	0
1	1
2	2
3	3
4	5
5	6
6	7
7	8
8	14
9	15
10	16
11	17
12	19
13	20
14	21
15	22
16	42
17	43
18	44
19	45
20	47
21	48
22	49
23	50
24	56
25	57
26	58
27	59
28	61
29	62
30	63
31	64
32	132
33	133
34	134
35	135
36	137
37	138
38	139
39	140
40	146
41	147
42	148
43	149
44	151
45	152
46	153
47	154
48	174
49	175
50	176
51	177
52	179
53	180
54	181
55	182
56	188
57	189
58	190
59	191
60	193
61	194
62	195
63	196

[0, 1, 2, 3, 5, 6, 7, 8, 14, 15, 16, 17, 19, 20, 21, 22, 42, 43, 44, 45, 47, 48, 49, 50, 56, 57, 58, 59, 61, 62, 63, 64, 132, 133, 134, 135, 137, 138, 139, 140, 146, 147, 148, 149, 151, 152, 153, 154, 174, 175, 176, 177, 179, 180, 181, 182, 188, 189, 190, 191, 193, 194, 195, 196]

cp's OEIS Frontend

A197433 Sum of distinct Catalan numbers: a(n) = Sum_{k>=0} A030308(n,k)*C(k+1) where C(n) is the n-th Catalan number (A000108). (C(0) and C(1) not treated as distinct.)

Table of values

List of values

n	a(n)
0	0
1	1
2	2
3	3
4	5
5	6
6	7
7	8
8	14
9	15
10	16
11	17
12	19
13	20
14	21
15	22
16	42
17	43
18	44
19	45
20	47
21	48
22	49
23	50
24	56
25	57
26	58
27	59
28	61
29	62
30	63
31	64
32	132
33	133
34	134
35	135
36	137
37	138
38	139
39	140
40	146
41	147
42	148
43	149
44	151
45	152
46	153
47	154
48	174
49	175
50	176
51	177
52	179
53	180
54	181
55	182
56	188
57	189
58	190
59	191
60	193
61	194
62	195
63	196

n	a(n)
0	0
1	1
2	2
3	3
4	5
5	6
6	7
7	8
8	14
9	15
10	16
11	17
12	19
13	20
14	21
15	22
16	42
17	43
18	44
19	45
20	47
21	48
22	49
23	50
24	56
25	57
26	58
27	59
28	61
29	62
30	63
31	64
32	132
33	133
34	134
35	135
36	137
37	138
38	139
39	140
40	146
41	147
42	148
43	149
44	151
45	152
46	153
47	154
48	174
49	175
50	176
51	177
52	179
53	180
54	181
55	182
56	188
57	189
58	190
59	191
60	193
61	194
62	195
63	196

n	a(n)
0	0
1	1
2	2
3	3
4	5
5	6
6	7
7	8
8	14
9	15
10	16
11	17
12	19
13	20
14	21
15	22
16	42
17	43
18	44
19	45
20	47
21	48
22	49
23	50
24	56
25	57
26	58
27	59
28	61
29	62
30	63
31	64
32	132
33	133
34	134
35	135
36	137
37	138
38	139
39	140
40	146
41	147
42	148
43	149
44	151
45	152
46	153
47	154
48	174
49	175
50	176
51	177
52	179
53	180
54	181
55	182
56	188
57	189
58	190
59	191
60	193
61	194
62	195
63	196