A268187 - cp's OEIS frontend

A268187 Triangle read by rows: T(n,k) is the number of no-leg partitions of n having Durfee square of size k (n >= 1, 1 <= k <= floor(sqrt(n))). Also, number of no-arm partitions of n having Durfee square of size k.

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

[1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 1, 4, 1, 1, 4, 2, 1, 5, 3, 1, 5, 4, 1, 6, 5, 1, 6, 7, 1, 7, 8, 1, 1, 7, 10, 1, 1, 8, 12, 2, 1, 8, 14, 3, 1, 9, 16, 5, 1, 9, 19, 6, 1, 10, 21, 9, 1, 10, 24, 11, 1, 11, 27, 15, 1, 11, 30, 18, 1, 1, 12, 33, 23, 1]

cp's OEIS Frontend

A268187 Triangle read by rows: T(n,k) is the number of no-leg partitions of n having Durfee square of size k (n >= 1, 1 <= k <= floor(sqrt(n))). Also, number of no-arm partitions of n having Durfee square of size k.

Table of values

List of values

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

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

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