A334467 - cp's OEIS frontend

A334467 Square array read by antidiagonals upwards: T(n,k) is the sum of all parts of all partitions of n into consecutive parts that differ by k, with n >= 1, k >= 0.

n	a(n)
1	1
2	4
3	1
4	6
5	2
6	1
7	12
8	6
9	2
10	1
11	10
12	4
13	3
14	2
15	1
16	24
17	10
18	8
19	3
20	2
21	1
22	14
23	12
24	5
25	4
26	3
27	2
28	1
29	32
30	14
31	12
32	10
33	4
34	3
35	2
36	1
37	27
38	8
39	7
40	6
41	5
42	4
43	3
44	2
45	1
46	40
47	27
48	16
49	14
50	12
51	5
52	4
53	3
54	2
55	1
56	22
57	20
58	18
59	8
60	7
61	6
62	5
63	4
64	3
65	2
66	1
67	72
68	22
69	20
70	18
71	16
72	14
73	6
74	5
75	4
76	3
77	2
78	1
79	26
80	24
81	11
82	10
83	9
84	8
85	7
86	6
87	5
88	4
89	3
90	2
91	1

[1, 4, 1, 6, 2, 1, 12, 6, 2, 1, 10, 4, 3, 2, 1, 24, 10, 8, 3, 2, 1, 14, 12, 5, 4, 3, 2, 1, 32, 14, 12, 10, 4, 3, 2, 1, 27, 8, 7, 6, 5, 4, 3, 2, 1, 40, 27, 16, 14, 12, 5, 4, 3, 2, 1, 22, 20, 18, 8, 7, 6, 5, 4, 3, 2, 1, 72, 22, 20, 18, 16, 14, 6, 5, 4, 3, 2, 1, 26, 24, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1]

cp's OEIS Frontend

A334467 Square array read by antidiagonals upwards: T(n,k) is the sum of all parts of all partitions of n into consecutive parts that differ by k, with n >= 1, k >= 0.

Table of values

List of values

n	a(n)
1	1
2	4
3	1
4	6
5	2
6	1
7	12
8	6
9	2
10	1
11	10
12	4
13	3
14	2
15	1
16	24
17	10
18	8
19	3
20	2
21	1
22	14
23	12
24	5
25	4
26	3
27	2
28	1
29	32
30	14
31	12
32	10
33	4
34	3
35	2
36	1
37	27
38	8
39	7
40	6
41	5
42	4
43	3
44	2
45	1
46	40
47	27
48	16
49	14
50	12
51	5
52	4
53	3
54	2
55	1
56	22
57	20
58	18
59	8
60	7
61	6
62	5
63	4
64	3
65	2
66	1
67	72
68	22
69	20
70	18
71	16
72	14
73	6
74	5
75	4
76	3
77	2
78	1
79	26
80	24
81	11
82	10
83	9
84	8
85	7
86	6
87	5
88	4
89	3
90	2
91	1

n	a(n)
1	1
2	4
3	1
4	6
5	2
6	1
7	12
8	6
9	2
10	1
11	10
12	4
13	3
14	2
15	1
16	24
17	10
18	8
19	3
20	2
21	1
22	14
23	12
24	5
25	4
26	3
27	2
28	1
29	32
30	14
31	12
32	10
33	4
34	3
35	2
36	1
37	27
38	8
39	7
40	6
41	5
42	4
43	3
44	2
45	1
46	40
47	27
48	16
49	14
50	12
51	5
52	4
53	3
54	2
55	1
56	22
57	20
58	18
59	8
60	7
61	6
62	5
63	4
64	3
65	2
66	1
67	72
68	22
69	20
70	18
71	16
72	14
73	6
74	5
75	4
76	3
77	2
78	1
79	26
80	24
81	11
82	10
83	9
84	8
85	7
86	6
87	5
88	4
89	3
90	2
91	1

n	a(n)
1	1
2	4
3	1
4	6
5	2
6	1
7	12
8	6
9	2
10	1
11	10
12	4
13	3
14	2
15	1
16	24
17	10
18	8
19	3
20	2
21	1
22	14
23	12
24	5
25	4
26	3
27	2
28	1
29	32
30	14
31	12
32	10
33	4
34	3
35	2
36	1
37	27
38	8
39	7
40	6
41	5
42	4
43	3
44	2
45	1
46	40
47	27
48	16
49	14
50	12
51	5
52	4
53	3
54	2
55	1
56	22
57	20
58	18
59	8
60	7
61	6
62	5
63	4
64	3
65	2
66	1
67	72
68	22
69	20
70	18
71	16
72	14
73	6
74	5
75	4
76	3
77	2
78	1
79	26
80	24
81	11
82	10
83	9
84	8
85	7
86	6
87	5
88	4
89	3
90	2
91	1