A133121 - cp's OEIS frontend

A133121 Triangle T(n,k) read by rows = number of partitions of n such that number of parts minus number of distinct parts is equal to k, k = 0..n-1.

n	a(n)
1	1
2	1
3	1
4	2
5	0
6	1
7	2
8	2
9	0
10	1
11	3
12	2
13	1
14	0
15	1
16	4
17	2
18	3
19	1
20	0
21	1
22	5
23	4
24	2
25	2
26	1
27	0
28	1
29	6
30	6
31	3
32	3
33	2
34	1
35	0
36	1
37	8
38	7
39	5
40	4
41	2
42	2
43	1
44	0
45	1
46	10
47	8
48	10
49	3
50	5
51	2
52	2
53	1
54	0
55	1
56	12
57	13
58	8
59	9
60	4
61	4
62	2
63	2
64	1
65	0
66	1
67	15
68	15
69	14
70	10
71	8
72	5
73	4
74	2
75	2
76	1
77	0
78	1
79	18
80	21
81	15
82	16
83	8
84	9
85	4
86	4
87	2
88	2
89	1
90	0
91	1
92	22
93	25
94	23
95	17
96	17
97	7
98	10
99	4
100	4
101	2
102	2
103	1
104	0
105	1

[1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 3, 2, 1, 0, 1, 4, 2, 3, 1, 0, 1, 5, 4, 2, 2, 1, 0, 1, 6, 6, 3, 3, 2, 1, 0, 1, 8, 7, 5, 4, 2, 2, 1, 0, 1, 10, 8, 10, 3, 5, 2, 2, 1, 0, 1, 12, 13, 8, 9, 4, 4, 2, 2, 1, 0, 1, 15, 15, 14, 10, 8, 5, 4, 2, 2, 1, 0, 1, 18, 21, 15, 16, 8, 9, 4, 4, 2, 2, 1, 0, 1, 22, 25, 23, 17, 17, 7, 10, 4, 4, 2, 2, 1, 0, 1]

cp's OEIS Frontend

A133121 Triangle T(n,k) read by rows = number of partitions of n such that number of parts minus number of distinct parts is equal to k, k = 0..n-1.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	2
5	0
6	1
7	2
8	2
9	0
10	1
11	3
12	2
13	1
14	0
15	1
16	4
17	2
18	3
19	1
20	0
21	1
22	5
23	4
24	2
25	2
26	1
27	0
28	1
29	6
30	6
31	3
32	3
33	2
34	1
35	0
36	1
37	8
38	7
39	5
40	4
41	2
42	2
43	1
44	0
45	1
46	10
47	8
48	10
49	3
50	5
51	2
52	2
53	1
54	0
55	1
56	12
57	13
58	8
59	9
60	4
61	4
62	2
63	2
64	1
65	0
66	1
67	15
68	15
69	14
70	10
71	8
72	5
73	4
74	2
75	2
76	1
77	0
78	1
79	18
80	21
81	15
82	16
83	8
84	9
85	4
86	4
87	2
88	2
89	1
90	0
91	1
92	22
93	25
94	23
95	17
96	17
97	7
98	10
99	4
100	4
101	2
102	2
103	1
104	0
105	1

n	a(n)
1	1
2	1
3	1
4	2
5	0
6	1
7	2
8	2
9	0
10	1
11	3
12	2
13	1
14	0
15	1
16	4
17	2
18	3
19	1
20	0
21	1
22	5
23	4
24	2
25	2
26	1
27	0
28	1
29	6
30	6
31	3
32	3
33	2
34	1
35	0
36	1
37	8
38	7
39	5
40	4
41	2
42	2
43	1
44	0
45	1
46	10
47	8
48	10
49	3
50	5
51	2
52	2
53	1
54	0
55	1
56	12
57	13
58	8
59	9
60	4
61	4
62	2
63	2
64	1
65	0
66	1
67	15
68	15
69	14
70	10
71	8
72	5
73	4
74	2
75	2
76	1
77	0
78	1
79	18
80	21
81	15
82	16
83	8
84	9
85	4
86	4
87	2
88	2
89	1
90	0
91	1
92	22
93	25
94	23
95	17
96	17
97	7
98	10
99	4
100	4
101	2
102	2
103	1
104	0
105	1

n	a(n)
1	1
2	1
3	1
4	2
5	0
6	1
7	2
8	2
9	0
10	1
11	3
12	2
13	1
14	0
15	1
16	4
17	2
18	3
19	1
20	0
21	1
22	5
23	4
24	2
25	2
26	1
27	0
28	1
29	6
30	6
31	3
32	3
33	2
34	1
35	0
36	1
37	8
38	7
39	5
40	4
41	2
42	2
43	1
44	0
45	1
46	10
47	8
48	10
49	3
50	5
51	2
52	2
53	1
54	0
55	1
56	12
57	13
58	8
59	9
60	4
61	4
62	2
63	2
64	1
65	0
66	1
67	15
68	15
69	14
70	10
71	8
72	5
73	4
74	2
75	2
76	1
77	0
78	1
79	18
80	21
81	15
82	16
83	8
84	9
85	4
86	4
87	2
88	2
89	1
90	0
91	1
92	22
93	25
94	23
95	17
96	17
97	7
98	10
99	4
100	4
101	2
102	2
103	1
104	0
105	1