A115994 - cp's OEIS frontend

A115994 Triangle read by rows: T(n,k) is number of partitions of n with Durfee square of size k (n>=1; 1<=k<=floor(sqrt(n))).

n	a(n)
1	1
2	2
3	3
4	4
5	1
6	5
7	2
8	6
9	5
10	7
11	8
12	8
13	14
14	9
15	20
16	1
17	10
18	30
19	2
20	11
21	40
22	5
23	12
24	55
25	10
26	13
27	70
28	18
29	14
30	91
31	30
32	15
33	112
34	49
35	16
36	140
37	74
38	1
39	17
40	168
41	110
42	2
43	18
44	204
45	158
46	5
47	19
48	240
49	221
50	10
51	20
52	285
53	302
54	20
55	21
56	330
57	407
58	34
59	22
60	385
61	536
62	59
63	23
64	440
65	698
66	94
67	24
68	506
69	896
70	149
71	25

[1, 2, 3, 4, 1, 5, 2, 6, 5, 7, 8, 8, 14, 9, 20, 1, 10, 30, 2, 11, 40, 5, 12, 55, 10, 13, 70, 18, 14, 91, 30, 15, 112, 49, 16, 140, 74, 1, 17, 168, 110, 2, 18, 204, 158, 5, 19, 240, 221, 10, 20, 285, 302, 20, 21, 330, 407, 34, 22, 385, 536, 59, 23, 440, 698, 94, 24, 506, 896, 149, 25]

cp's OEIS Frontend

A115994 Triangle read by rows: T(n,k) is number of partitions of n with Durfee square of size k (n>=1; 1<=k<=floor(sqrt(n))).

Table of values

List of values

n	a(n)
1	1
2	2
3	3
4	4
5	1
6	5
7	2
8	6
9	5
10	7
11	8
12	8
13	14
14	9
15	20
16	1
17	10
18	30
19	2
20	11
21	40
22	5
23	12
24	55
25	10
26	13
27	70
28	18
29	14
30	91
31	30
32	15
33	112
34	49
35	16
36	140
37	74
38	1
39	17
40	168
41	110
42	2
43	18
44	204
45	158
46	5
47	19
48	240
49	221
50	10
51	20
52	285
53	302
54	20
55	21
56	330
57	407
58	34
59	22
60	385
61	536
62	59
63	23
64	440
65	698
66	94
67	24
68	506
69	896
70	149
71	25

n	a(n)
1	1
2	2
3	3
4	4
5	1
6	5
7	2
8	6
9	5
10	7
11	8
12	8
13	14
14	9
15	20
16	1
17	10
18	30
19	2
20	11
21	40
22	5
23	12
24	55
25	10
26	13
27	70
28	18
29	14
30	91
31	30
32	15
33	112
34	49
35	16
36	140
37	74
38	1
39	17
40	168
41	110
42	2
43	18
44	204
45	158
46	5
47	19
48	240
49	221
50	10
51	20
52	285
53	302
54	20
55	21
56	330
57	407
58	34
59	22
60	385
61	536
62	59
63	23
64	440
65	698
66	94
67	24
68	506
69	896
70	149
71	25

n	a(n)
1	1
2	2
3	3
4	4
5	1
6	5
7	2
8	6
9	5
10	7
11	8
12	8
13	14
14	9
15	20
16	1
17	10
18	30
19	2
20	11
21	40
22	5
23	12
24	55
25	10
26	13
27	70
28	18
29	14
30	91
31	30
32	15
33	112
34	49
35	16
36	140
37	74
38	1
39	17
40	168
41	110
42	2
43	18
44	204
45	158
46	5
47	19
48	240
49	221
50	10
51	20
52	285
53	302
54	20
55	21
56	330
57	407
58	34
59	22
60	385
61	536
62	59
63	23
64	440
65	698
66	94
67	24
68	506
69	896
70	149
71	25