A096771 - cp's OEIS frontend

A096771 Triangle read by rows: T(n,m) is the number of partitions of n that (just) fit inside an m X m box, but not in an (m-1) X (m-1) box. Partitions of n with Max(max part, length) = m.

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

[1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 3, 2, 2, 0, 0, 3, 4, 2, 2, 0, 0, 2, 5, 4, 2, 2, 0, 0, 1, 7, 6, 4, 2, 2, 0, 0, 1, 6, 9, 6, 4, 2, 2, 0, 0, 0, 7, 11, 10, 6, 4, 2, 2, 0, 0, 0, 5, 14, 13, 10, 6, 4, 2, 2, 0, 0, 0, 5, 15, 19, 14, 10, 6, 4, 2, 2, 0, 0, 0, 3, 17, 22, 21, 14, 10, 6, 4, 2, 2, 0, 0, 0, 2, 17, 29]

cp's OEIS Frontend

A096771 Triangle read by rows: T(n,m) is the number of partitions of n that (just) fit inside an m X m box, but not in an (m-1) X (m-1) box. Partitions of n with Max(max part, length) = m.

Table of values

List of values

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

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

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