A366745 - cp's OEIS frontend

A366745 Triangular array, read by rows: T(n,k) = number of partitions p of n such that d(p, p') = 2k, where p' = contraconjugate of p, and d is the distance function defined in A366156.

n	a(n)
1	1
2	0
3	2
4	1
5	0
6	2
7	1
8	2
9	0
10	2
11	1
12	2
13	2
14	0
15	2
16	1
17	0
18	6
19	2
20	0
21	2
22	1
23	2
24	2
25	6
26	2
27	0
28	2
29	0
30	6
31	2
32	4
33	6
34	2
35	0
36	2
37	0
38	2
39	4
40	8
41	6
42	6
43	2
44	0
45	2
46	0
47	4
48	8
49	8
50	8
51	4
52	6
53	2
54	0
55	2
56	0
57	6
58	10
59	8
60	12
61	6
62	4
63	6
64	2
65	0
66	2
67	1
68	4
69	14
70	8
71	16
72	10
73	6
74	6
75	8
76	2
77	0
78	2
79	1
80	4
81	18
82	10
83	14
84	20
85	10
86	6
87	6
88	8
89	2
90	0
91	2
92	1
93	8
94	8
95	18
96	20
97	22
98	16
99	16
100	6
101	8
102	8
103	2
104	0
105	2
106	0
107	6
108	18
109	28
110	30
111	24
112	16
113	16
114	10
115	8
116	8
117	8
118	2
119	0
120	2
121	1
122	4
123	20
124	28
125	30
126	36
127	16
128	34
129	18
130	16
131	4
132	12
133	8
134	2
135	0
136	2

[1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 6, 2, 0, 2, 1, 2, 2, 6, 2, 0, 2, 0, 6, 2, 4, 6, 2, 0, 2, 0, 2, 4, 8, 6, 6, 2, 0, 2, 0, 4, 8, 8, 8, 4, 6, 2, 0, 2, 0, 6, 10, 8, 12, 6, 4, 6, 2, 0, 2, 1, 4, 14, 8, 16, 10, 6, 6, 8, 2, 0, 2, 1, 4, 18, 10, 14, 20, 10, 6, 6, 8, 2, 0, 2, 1, 8, 8, 18, 20, 22, 16, 16, 6, 8, 8, 2, 0, 2, 0, 6, 18, 28, 30, 24, 16, 16, 10, 8, 8, 8, 2, 0, 2, 1, 4, 20, 28, 30, 36, 16, 34, 18, 16, 4, 12, 8, 2, 0, 2]

cp's OEIS Frontend

A366745 Triangular array, read by rows: T(n,k) = number of partitions p of n such that d(p, p') = 2k, where p' = contraconjugate of p, and d is the distance function defined in A366156.

Table of values

List of values

n	a(n)
1	1
2	0
3	2
4	1
5	0
6	2
7	1
8	2
9	0
10	2
11	1
12	2
13	2
14	0
15	2
16	1
17	0
18	6
19	2
20	0
21	2
22	1
23	2
24	2
25	6
26	2
27	0
28	2
29	0
30	6
31	2
32	4
33	6
34	2
35	0
36	2
37	0
38	2
39	4
40	8
41	6
42	6
43	2
44	0
45	2
46	0
47	4
48	8
49	8
50	8
51	4
52	6
53	2
54	0
55	2
56	0
57	6
58	10
59	8
60	12
61	6
62	4
63	6
64	2
65	0
66	2
67	1
68	4
69	14
70	8
71	16
72	10
73	6
74	6
75	8
76	2
77	0
78	2
79	1
80	4
81	18
82	10
83	14
84	20
85	10
86	6
87	6
88	8
89	2
90	0
91	2
92	1
93	8
94	8
95	18
96	20
97	22
98	16
99	16
100	6
101	8
102	8
103	2
104	0
105	2
106	0
107	6
108	18
109	28
110	30
111	24
112	16
113	16
114	10
115	8
116	8
117	8
118	2
119	0
120	2
121	1
122	4
123	20
124	28
125	30
126	36
127	16
128	34
129	18
130	16
131	4
132	12
133	8
134	2
135	0
136	2

n	a(n)
1	1
2	0
3	2
4	1
5	0
6	2
7	1
8	2
9	0
10	2
11	1
12	2
13	2
14	0
15	2
16	1
17	0
18	6
19	2
20	0
21	2
22	1
23	2
24	2
25	6
26	2
27	0
28	2
29	0
30	6
31	2
32	4
33	6
34	2
35	0
36	2
37	0
38	2
39	4
40	8
41	6
42	6
43	2
44	0
45	2
46	0
47	4
48	8
49	8
50	8
51	4
52	6
53	2
54	0
55	2
56	0
57	6
58	10
59	8
60	12
61	6
62	4
63	6
64	2
65	0
66	2
67	1
68	4
69	14
70	8
71	16
72	10
73	6
74	6
75	8
76	2
77	0
78	2
79	1
80	4
81	18
82	10
83	14
84	20
85	10
86	6
87	6
88	8
89	2
90	0
91	2
92	1
93	8
94	8
95	18
96	20
97	22
98	16
99	16
100	6
101	8
102	8
103	2
104	0
105	2
106	0
107	6
108	18
109	28
110	30
111	24
112	16
113	16
114	10
115	8
116	8
117	8
118	2
119	0
120	2
121	1
122	4
123	20
124	28
125	30
126	36
127	16
128	34
129	18
130	16
131	4
132	12
133	8
134	2
135	0
136	2

n	a(n)
1	1
2	0
3	2
4	1
5	0
6	2
7	1
8	2
9	0
10	2
11	1
12	2
13	2
14	0
15	2
16	1
17	0
18	6
19	2
20	0
21	2
22	1
23	2
24	2
25	6
26	2
27	0
28	2
29	0
30	6
31	2
32	4
33	6
34	2
35	0
36	2
37	0
38	2
39	4
40	8
41	6
42	6
43	2
44	0
45	2
46	0
47	4
48	8
49	8
50	8
51	4
52	6
53	2
54	0
55	2
56	0
57	6
58	10
59	8
60	12
61	6
62	4
63	6
64	2
65	0
66	2
67	1
68	4
69	14
70	8
71	16
72	10
73	6
74	6
75	8
76	2
77	0
78	2
79	1
80	4
81	18
82	10
83	14
84	20
85	10
86	6
87	6
88	8
89	2
90	0
91	2
92	1
93	8
94	8
95	18
96	20
97	22
98	16
99	16
100	6
101	8
102	8
103	2
104	0
105	2
106	0
107	6
108	18
109	28
110	30
111	24
112	16
113	16
114	10
115	8
116	8
117	8
118	2
119	0
120	2
121	1
122	4
123	20
124	28
125	30
126	36
127	16
128	34
129	18
130	16
131	4
132	12
133	8
134	2
135	0
136	2