A366154 - cp's OEIS frontend

A366154 Irregular triangle read by rows: T(n,k) is the number of integer partitions of n with at least one part a_i such that a_i - a_{i+k} = k.

n	a(n)
0	0
1	1
2	2
3	3
4	1
5	5
6	1
7	7
8	3
9	1
10	11
11	3
12	2
13	15
14	7
15	3
16	1
17	22
18	9
19	4
20	2
21	30
22	15
23	7
24	4
25	1
26	42
27	20
28	11
29	6
30	2
31	56
32	32
33	16
34	9
35	4
36	1
37	77
38	40
39	22
40	12
41	7
42	2
43	101
44	61
45	33
46	19
47	11
48	4
49	1
50	135
51	78
52	44
53	26
54	16
55	7
56	2
57	176
58	112
59	61
60	39
61	23
62	12
63	4
64	1
65	231
66	142
67	81
68	52
69	32
70	18
71	7
72	2

[0, 1, 2, 3, 1, 5, 1, 7, 3, 1, 11, 3, 2, 15, 7, 3, 1, 22, 9, 4, 2, 30, 15, 7, 4, 1, 42, 20, 11, 6, 2, 56, 32, 16, 9, 4, 1, 77, 40, 22, 12, 7, 2, 101, 61, 33, 19, 11, 4, 1, 135, 78, 44, 26, 16, 7, 2, 176, 112, 61, 39, 23, 12, 4, 1, 231, 142, 81, 52, 32, 18, 7, 2]

cp's OEIS Frontend

A366154 Irregular triangle read by rows: T(n,k) is the number of integer partitions of n with at least one part a_i such that a_i - a_{i+k} = k.

Table of values

List of values

n	a(n)
0	0
1	1
2	2
3	3
4	1
5	5
6	1
7	7
8	3
9	1
10	11
11	3
12	2
13	15
14	7
15	3
16	1
17	22
18	9
19	4
20	2
21	30
22	15
23	7
24	4
25	1
26	42
27	20
28	11
29	6
30	2
31	56
32	32
33	16
34	9
35	4
36	1
37	77
38	40
39	22
40	12
41	7
42	2
43	101
44	61
45	33
46	19
47	11
48	4
49	1
50	135
51	78
52	44
53	26
54	16
55	7
56	2
57	176
58	112
59	61
60	39
61	23
62	12
63	4
64	1
65	231
66	142
67	81
68	52
69	32
70	18
71	7
72	2

n	a(n)
0	0
1	1
2	2
3	3
4	1
5	5
6	1
7	7
8	3
9	1
10	11
11	3
12	2
13	15
14	7
15	3
16	1
17	22
18	9
19	4
20	2
21	30
22	15
23	7
24	4
25	1
26	42
27	20
28	11
29	6
30	2
31	56
32	32
33	16
34	9
35	4
36	1
37	77
38	40
39	22
40	12
41	7
42	2
43	101
44	61
45	33
46	19
47	11
48	4
49	1
50	135
51	78
52	44
53	26
54	16
55	7
56	2
57	176
58	112
59	61
60	39
61	23
62	12
63	4
64	1
65	231
66	142
67	81
68	52
69	32
70	18
71	7
72	2

n	a(n)
0	0
1	1
2	2
3	3
4	1
5	5
6	1
7	7
8	3
9	1
10	11
11	3
12	2
13	15
14	7
15	3
16	1
17	22
18	9
19	4
20	2
21	30
22	15
23	7
24	4
25	1
26	42
27	20
28	11
29	6
30	2
31	56
32	32
33	16
34	9
35	4
36	1
37	77
38	40
39	22
40	12
41	7
42	2
43	101
44	61
45	33
46	19
47	11
48	4
49	1
50	135
51	78
52	44
53	26
54	16
55	7
56	2
57	176
58	112
59	61
60	39
61	23
62	12
63	4
64	1
65	231
66	142
67	81
68	52
69	32
70	18
71	7
72	2