A238352 - cp's OEIS frontend

A238352 Irregular triangle T(n,k) read by rows: T(n,k) is the number of partitions p(1), p(2), ..., p(m) of n (as weakly ascending list of parts) with k parts p at position p (fixed points), n>=0, 0<=k<= (column index of last nonzero term in row n).

n	a(n)
0	1
1	0
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	4
10	2
11	3
12	2
13	3
14	7
15	0
16	1
17	3
18	7
19	5
20	4
21	14
22	4
23	5
24	19
25	3
26	3
27	8
28	24
29	9
30	0
31	1
32	9
33	32
34	11
35	4
36	12
37	46
38	15
39	4
40	13
41	60
42	21
43	7
44	17
45	85
46	28
47	1
48	4
49	22
50	109
51	28
52	16
53	0
54	1
55	28
56	140
57	51
58	7
59	5
60	34
61	179
62	57
63	26
64	1
65	42
66	239
67	74
68	25
69	5
70	48
71	300
72	107
73	24

[1, 0, 1, 1, 1, 1, 1, 1, 1, 4, 2, 3, 2, 3, 7, 0, 1, 3, 7, 5, 4, 14, 4, 5, 19, 3, 3, 8, 24, 9, 0, 1, 9, 32, 11, 4, 12, 46, 15, 4, 13, 60, 21, 7, 17, 85, 28, 1, 4, 22, 109, 28, 16, 0, 1, 28, 140, 51, 7, 5, 34, 179, 57, 26, 1, 42, 239, 74, 25, 5, 48, 300, 107, 24]

cp's OEIS Frontend

A238352 Irregular triangle T(n,k) read by rows: T(n,k) is the number of partitions p(1), p(2), ..., p(m) of n (as weakly ascending list of parts) with k parts p at position p (fixed points), n>=0, 0<=k<= (column index of last nonzero term in row n).

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	4
10	2
11	3
12	2
13	3
14	7
15	0
16	1
17	3
18	7
19	5
20	4
21	14
22	4
23	5
24	19
25	3
26	3
27	8
28	24
29	9
30	0
31	1
32	9
33	32
34	11
35	4
36	12
37	46
38	15
39	4
40	13
41	60
42	21
43	7
44	17
45	85
46	28
47	1
48	4
49	22
50	109
51	28
52	16
53	0
54	1
55	28
56	140
57	51
58	7
59	5
60	34
61	179
62	57
63	26
64	1
65	42
66	239
67	74
68	25
69	5
70	48
71	300
72	107
73	24

n	a(n)
0	1
1	0
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	4
10	2
11	3
12	2
13	3
14	7
15	0
16	1
17	3
18	7
19	5
20	4
21	14
22	4
23	5
24	19
25	3
26	3
27	8
28	24
29	9
30	0
31	1
32	9
33	32
34	11
35	4
36	12
37	46
38	15
39	4
40	13
41	60
42	21
43	7
44	17
45	85
46	28
47	1
48	4
49	22
50	109
51	28
52	16
53	0
54	1
55	28
56	140
57	51
58	7
59	5
60	34
61	179
62	57
63	26
64	1
65	42
66	239
67	74
68	25
69	5
70	48
71	300
72	107
73	24

n	a(n)
0	1
1	0
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	4
10	2
11	3
12	2
13	3
14	7
15	0
16	1
17	3
18	7
19	5
20	4
21	14
22	4
23	5
24	19
25	3
26	3
27	8
28	24
29	9
30	0
31	1
32	9
33	32
34	11
35	4
36	12
37	46
38	15
39	4
40	13
41	60
42	21
43	7
44	17
45	85
46	28
47	1
48	4
49	22
50	109
51	28
52	16
53	0
54	1
55	28
56	140
57	51
58	7
59	5
60	34
61	179
62	57
63	26
64	1
65	42
66	239
67	74
68	25
69	5
70	48
71	300
72	107
73	24