A229961 - cp's OEIS frontend

A229961 T(n,k) is the number of partitions in each run k of strictly increasing numbers of 2 X 2 squares in the list of partitions of n^2 into squares, where partition sorting order is ascending with larger squares taking higher precedence; irregular triangle T(n,k), 1 <= n, 1 <= k <= A227940(n), read by rows.

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

[1, 2, 3, 1, 5, 2, 1, 7, 5, 2, 3, 1, 1, 10, 7, 5, 3, 1, 6, 3, 1, 2, 3, 1, 1, 13, 11, 8, 6, 4, 2, 9, 7, 4, 2, 5, 3, 1, 7, 4, 2, 3, 4, 2, 1, 17, 14, 12, 10, 8, 5, 3, 1, 13, 10, 8, 6, 4, 1, 9, 6, 4, 2, 5, 2, 1, 10, 8, 6, 4, 1, 6, 4, 2, 2, 4, 2, 8, 5, 3, 1, 4, 1, 1, 4, 2, 1]

cp's OEIS Frontend

Table of values

List of values

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

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

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