A373029 - cp's OEIS frontend

A373029 Triangle T(n,k), n >= 0, 0 <= k <= n, read by rows, where T(n,k) is the number of distinct partitions p of n such that max(p) is a multiple of k.

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

[1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 3, 1, 1, 1, 1, 0, 4, 2, 2, 1, 1, 1, 0, 5, 3, 1, 2, 1, 1, 1, 0, 6, 3, 1, 2, 2, 1, 1, 1, 0, 8, 4, 3, 2, 2, 2, 1, 1, 1, 0, 10, 5, 3, 2, 3, 2, 2, 1, 1, 1, 0, 12, 6, 4, 2, 3, 3, 2, 2, 1, 1, 1, 0, 15, 7, 6, 3, 3, 4, 3, 2, 2, 1, 1, 1, 0, 18, 9, 6, 4, 3, 4, 4, 3, 2, 2, 1, 1, 1]

cp's OEIS Frontend

A373029 Triangle T(n,k), n >= 0, 0 <= k <= n, read by rows, where T(n,k) is the number of distinct partitions p of n such that max(p) is a multiple of k.

Table of values

List of values

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

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

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