A237591 - cp's OEIS frontend

A237591 Irregular triangle read by rows: T(n,k) is the difference between the total number of partitions of all positive integers <= n into exactly k consecutive parts, and the total number of partitions of all positive integers <= n into exactly k+1 consecutive parts (n>=1, 1<=k<=A003056(n)).

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

[1, 2, 2, 1, 3, 1, 3, 2, 4, 1, 1, 4, 2, 1, 5, 2, 1, 5, 2, 2, 6, 2, 1, 1, 6, 3, 1, 1, 7, 2, 2, 1, 7, 3, 2, 1, 8, 3, 1, 2, 8, 3, 2, 1, 1, 9, 3, 2, 1, 1, 9, 4, 2, 1, 1, 10, 3, 2, 2, 1, 10, 4, 2, 2, 1, 11, 4, 2, 1, 2, 11, 4, 3, 1, 1, 1, 12, 4, 2, 2, 1, 1, 12, 5, 2, 2, 1, 1, 13, 4, 3, 2, 1, 1, 13, 5, 3, 1, 2, 1, 14, 5, 2, 2, 2, 1]

cp's OEIS Frontend

A237591 Irregular triangle read by rows: T(n,k) is the difference between the total number of partitions of all positive integers <= n into exactly k consecutive parts, and the total number of partitions of all positive integers <= n into exactly k+1 consecutive parts (n>=1, 1<=k<=A003056(n)).

Table of values

List of values

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

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

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