A299472 - cp's OEIS frontend

A299472 a(n) is the sum of all divisors of all numbers k whose associated largest Dyck path contains the point (n,n) in the diagram of the symmetric representation of sigma(k) described in A237593, or 0 if no such k exists.

n	a(n)
1	1
2	7
3	13
4	0
5	20
6	15
7	43
8	0
9	66
10	0
11	24
12	49
13	59
14	0
15	134
16	0
17	60
18	113
19	0
20	86
21	0
22	104
23	165
24	0
25	48
26	245
27	0
28	132
29	0
30	224
31	0
32	198
33	0
34	124
35	57
36	317
37	0
38	192
39	0
40	350
41	0
42	326
43	0
44	104
45	211
46	0
47	434
48	0
49	216
50	0
51	0
52	647
53	0
54	344
55	0
56	186
57	331
58	0
59	584
60	0
61	270
62	0
63	234
64	0
65	672
66	0
67	350
68	171
69	0
70	156
71	639
72	0
73	672
74	0
75	390
76	0
77	368
78	0
79	956

[1, 7, 13, 0, 20, 15, 43, 0, 66, 0, 24, 49, 59, 0, 134, 0, 60, 113, 0, 86, 0, 104, 165, 0, 48, 245, 0, 132, 0, 224, 0, 198, 0, 124, 57, 317, 0, 192, 0, 350, 0, 326, 0, 104, 211, 0, 434, 0, 216, 0, 0, 647, 0, 344, 0, 186, 331, 0, 584, 0, 270, 0, 234, 0, 672, 0, 350, 171, 0, 156, 639, 0, 672, 0, 390, 0, 368, 0, 956]

cp's OEIS Frontend

A299472 a(n) is the sum of all divisors of all numbers k whose associated largest Dyck path contains the point (n,n) in the diagram of the symmetric representation of sigma(k) described in A237593, or 0 if no such k exists.

Table of values

List of values

n	a(n)
1	1
2	7
3	13
4	0
5	20
6	15
7	43
8	0
9	66
10	0
11	24
12	49
13	59
14	0
15	134
16	0
17	60
18	113
19	0
20	86
21	0
22	104
23	165
24	0
25	48
26	245
27	0
28	132
29	0
30	224
31	0
32	198
33	0
34	124
35	57
36	317
37	0
38	192
39	0
40	350
41	0
42	326
43	0
44	104
45	211
46	0
47	434
48	0
49	216
50	0
51	0
52	647
53	0
54	344
55	0
56	186
57	331
58	0
59	584
60	0
61	270
62	0
63	234
64	0
65	672
66	0
67	350
68	171
69	0
70	156
71	639
72	0
73	672
74	0
75	390
76	0
77	368
78	0
79	956

n	a(n)
1	1
2	7
3	13
4	0
5	20
6	15
7	43
8	0
9	66
10	0
11	24
12	49
13	59
14	0
15	134
16	0
17	60
18	113
19	0
20	86
21	0
22	104
23	165
24	0
25	48
26	245
27	0
28	132
29	0
30	224
31	0
32	198
33	0
34	124
35	57
36	317
37	0
38	192
39	0
40	350
41	0
42	326
43	0
44	104
45	211
46	0
47	434
48	0
49	216
50	0
51	0
52	647
53	0
54	344
55	0
56	186
57	331
58	0
59	584
60	0
61	270
62	0
63	234
64	0
65	672
66	0
67	350
68	171
69	0
70	156
71	639
72	0
73	672
74	0
75	390
76	0
77	368
78	0
79	956

n	a(n)
1	1
2	7
3	13
4	0
5	20
6	15
7	43
8	0
9	66
10	0
11	24
12	49
13	59
14	0
15	134
16	0
17	60
18	113
19	0
20	86
21	0
22	104
23	165
24	0
25	48
26	245
27	0
28	132
29	0
30	224
31	0
32	198
33	0
34	124
35	57
36	317
37	0
38	192
39	0
40	350
41	0
42	326
43	0
44	104
45	211
46	0
47	434
48	0
49	216
50	0
51	0
52	647
53	0
54	344
55	0
56	186
57	331
58	0
59	584
60	0
61	270
62	0
63	234
64	0
65	672
66	0
67	350
68	171
69	0
70	156
71	639
72	0
73	672
74	0
75	390
76	0
77	368
78	0
79	956