A325458 - cp's OEIS frontend

A325458 Triangle read by rows where T(n,k) is the number of integer partitions of n with largest hook of size k, i.e., with (largest part) + (number of parts) - 1 = k.

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	2
6	0
7	0
8	0
9	3
10	0
11	0
12	0
13	1
14	4
15	0
16	0
17	0
18	0
19	2
20	5
21	0
22	0
23	0
24	0
25	2
26	3
27	6
28	0
29	0
30	0
31	0
32	0
33	4
34	4
35	7
36	0
37	0
38	0
39	0
40	0
41	3
42	6
43	5
44	8
45	0
46	0
47	0
48	0
49	0
50	1
51	6
52	8
53	6
54	9
55	0
56	0
57	0
58	0
59	0
60	0
61	6
62	9
63	10
64	7
65	10
66	0
67	0
68	0
69	0
70	0
71	0
72	2
73	11
74	12
75	12
76	8
77	11

[1, 0, 1, 0, 0, 2, 0, 0, 0, 3, 0, 0, 0, 1, 4, 0, 0, 0, 0, 2, 5, 0, 0, 0, 0, 2, 3, 6, 0, 0, 0, 0, 0, 4, 4, 7, 0, 0, 0, 0, 0, 3, 6, 5, 8, 0, 0, 0, 0, 0, 1, 6, 8, 6, 9, 0, 0, 0, 0, 0, 0, 6, 9, 10, 7, 10, 0, 0, 0, 0, 0, 0, 2, 11, 12, 12, 8, 11]

cp's OEIS Frontend

A325458 Triangle read by rows where T(n,k) is the number of integer partitions of n with largest hook of size k, i.e., with (largest part) + (number of parts) - 1 = k.

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	2
6	0
7	0
8	0
9	3
10	0
11	0
12	0
13	1
14	4
15	0
16	0
17	0
18	0
19	2
20	5
21	0
22	0
23	0
24	0
25	2
26	3
27	6
28	0
29	0
30	0
31	0
32	0
33	4
34	4
35	7
36	0
37	0
38	0
39	0
40	0
41	3
42	6
43	5
44	8
45	0
46	0
47	0
48	0
49	0
50	1
51	6
52	8
53	6
54	9
55	0
56	0
57	0
58	0
59	0
60	0
61	6
62	9
63	10
64	7
65	10
66	0
67	0
68	0
69	0
70	0
71	0
72	2
73	11
74	12
75	12
76	8
77	11

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	2
6	0
7	0
8	0
9	3
10	0
11	0
12	0
13	1
14	4
15	0
16	0
17	0
18	0
19	2
20	5
21	0
22	0
23	0
24	0
25	2
26	3
27	6
28	0
29	0
30	0
31	0
32	0
33	4
34	4
35	7
36	0
37	0
38	0
39	0
40	0
41	3
42	6
43	5
44	8
45	0
46	0
47	0
48	0
49	0
50	1
51	6
52	8
53	6
54	9
55	0
56	0
57	0
58	0
59	0
60	0
61	6
62	9
63	10
64	7
65	10
66	0
67	0
68	0
69	0
70	0
71	0
72	2
73	11
74	12
75	12
76	8
77	11

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	2
6	0
7	0
8	0
9	3
10	0
11	0
12	0
13	1
14	4
15	0
16	0
17	0
18	0
19	2
20	5
21	0
22	0
23	0
24	0
25	2
26	3
27	6
28	0
29	0
30	0
31	0
32	0
33	4
34	4
35	7
36	0
37	0
38	0
39	0
40	0
41	3
42	6
43	5
44	8
45	0
46	0
47	0
48	0
49	0
50	1
51	6
52	8
53	6
54	9
55	0
56	0
57	0
58	0
59	0
60	0
61	6
62	9
63	10
64	7
65	10
66	0
67	0
68	0
69	0
70	0
71	0
72	2
73	11
74	12
75	12
76	8
77	11