A330888 - cp's OEIS frontend

A330888 Irregular triangle read by rows: T(n,k) is the number of parts in the partition of n into k consecutive parts that differ by 3, n >= 1, k >= 1, and the first element of column k is in the row that is the k-th pentagonal number (A000326).

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

[1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 3, 1, 2, 0, 1, 0, 0, 1, 2, 3, 1, 0, 0, 1, 2, 0, 1, 0, 3, 1, 2, 0, 1, 0, 0, 1, 2, 3, 1, 0, 0, 4, 1, 2, 0, 0, 1, 0, 3, 0, 1, 2, 0, 0, 1, 0, 0, 4, 1, 2, 3, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 3, 4, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 3, 0, 1, 0, 0, 4, 1, 2, 0, 0, 5]

cp's OEIS Frontend

A330888 Irregular triangle read by rows: T(n,k) is the number of parts in the partition of n into k consecutive parts that differ by 3, n >= 1, k >= 1, and the first element of column k is in the row that is the k-th pentagonal number (A000326).

Table of values

List of values

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

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

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