A136624 - cp's OEIS frontend

A136624 Irregular triangle read by rows: classify each numeric partition by sum of its parts and by the size of the staircase Ferrers board required to contain it. The triangle gives the number of partitions in each class, cf. A136102 and A136103.

n	a(n)
0	1
1	1
2	2
3	1
4	2
5	3
6	3
7	1
8	2
9	2
10	6
11	7
12	6
13	4
14	1
15	2
16	2
17	4
18	8
19	12
20	15
21	17
22	14
23	10
24	5
25	1
26	2
27	2
28	4
29	6
30	12
31	15
32	23
33	30
34	39
35	42
36	40
37	35
38	25
39	15
40	6
41	1
42	2
43	2
44	4
45	6
46	10
47	16
48	23
49	29
50	42
51	56
52	71
53	88
54	103
55	112
56	114
57	102
58	86
59	65
60	41
61	21
62	7
63	1
64	2
65	2
66	4
67	6
68	10
69	14
70	24
71	31
72	43

[1, 1, 2, 1, 2, 3, 3, 1, 2, 2, 6, 7, 6, 4, 1, 2, 2, 4, 8, 12, 15, 17, 14, 10, 5, 1, 2, 2, 4, 6, 12, 15, 23, 30, 39, 42, 40, 35, 25, 15, 6, 1, 2, 2, 4, 6, 10, 16, 23, 29, 42, 56, 71, 88, 103, 112, 114, 102, 86, 65, 41, 21, 7, 1, 2, 2, 4, 6, 10, 14, 24, 31, 43]

cp's OEIS Frontend

A136624 Irregular triangle read by rows: classify each numeric partition by sum of its parts and by the size of the staircase Ferrers board required to contain it. The triangle gives the number of partitions in each class, cf. A136102 and A136103.

Table of values

List of values

n	a(n)
0	1
1	1
2	2
3	1
4	2
5	3
6	3
7	1
8	2
9	2
10	6
11	7
12	6
13	4
14	1
15	2
16	2
17	4
18	8
19	12
20	15
21	17
22	14
23	10
24	5
25	1
26	2
27	2
28	4
29	6
30	12
31	15
32	23
33	30
34	39
35	42
36	40
37	35
38	25
39	15
40	6
41	1
42	2
43	2
44	4
45	6
46	10
47	16
48	23
49	29
50	42
51	56
52	71
53	88
54	103
55	112
56	114
57	102
58	86
59	65
60	41
61	21
62	7
63	1
64	2
65	2
66	4
67	6
68	10
69	14
70	24
71	31
72	43

n	a(n)
0	1
1	1
2	2
3	1
4	2
5	3
6	3
7	1
8	2
9	2
10	6
11	7
12	6
13	4
14	1
15	2
16	2
17	4
18	8
19	12
20	15
21	17
22	14
23	10
24	5
25	1
26	2
27	2
28	4
29	6
30	12
31	15
32	23
33	30
34	39
35	42
36	40
37	35
38	25
39	15
40	6
41	1
42	2
43	2
44	4
45	6
46	10
47	16
48	23
49	29
50	42
51	56
52	71
53	88
54	103
55	112
56	114
57	102
58	86
59	65
60	41
61	21
62	7
63	1
64	2
65	2
66	4
67	6
68	10
69	14
70	24
71	31
72	43

n	a(n)
0	1
1	1
2	2
3	1
4	2
5	3
6	3
7	1
8	2
9	2
10	6
11	7
12	6
13	4
14	1
15	2
16	2
17	4
18	8
19	12
20	15
21	17
22	14
23	10
24	5
25	1
26	2
27	2
28	4
29	6
30	12
31	15
32	23
33	30
34	39
35	42
36	40
37	35
38	25
39	15
40	6
41	1
42	2
43	2
44	4
45	6
46	10
47	16
48	23
49	29
50	42
51	56
52	71
53	88
54	103
55	112
56	114
57	102
58	86
59	65
60	41
61	21
62	7
63	1
64	2
65	2
66	4
67	6
68	10
69	14
70	24
71	31
72	43