A238606 - cp's OEIS frontend

A238606 Array: t(n,k) = number of partitions p of n such that the principal antidiagonal of the Ferrers matrix of p has k 1's.

n	a(n)
1	1
2	2
3	2
4	1
5	4
6	1
7	4
8	3
9	8
10	2
11	1
12	10
13	3
14	2
15	14
16	7
17	1
18	20
19	5
20	5
21	30
22	5
23	6
24	1
25	36
26	15
27	2
28	3
29	52
30	16
31	6
32	3
33	70
34	13
35	15
36	3
37	94
38	22
39	12
40	7
41	122
42	32
43	8
44	13
45	1
46	160
47	45
48	12
49	10
50	4
51	206
52	51
53	26
54	8
55	6
56	276
57	49
58	44
59	9
60	7
61	350
62	75
63	30
64	28
65	7
66	448
67	108
68	22
69	38
70	11
71	566

[1, 2, 2, 1, 4, 1, 4, 3, 8, 2, 1, 10, 3, 2, 14, 7, 1, 20, 5, 5, 30, 5, 6, 1, 36, 15, 2, 3, 52, 16, 6, 3, 70, 13, 15, 3, 94, 22, 12, 7, 122, 32, 8, 13, 1, 160, 45, 12, 10, 4, 206, 51, 26, 8, 6, 276, 49, 44, 9, 7, 350, 75, 30, 28, 7, 448, 108, 22, 38, 11, 566]

cp's OEIS Frontend

A238606 Array: t(n,k) = number of partitions p of n such that the principal antidiagonal of the Ferrers matrix of p has k 1's.

Table of values

List of values

n	a(n)
1	1
2	2
3	2
4	1
5	4
6	1
7	4
8	3
9	8
10	2
11	1
12	10
13	3
14	2
15	14
16	7
17	1
18	20
19	5
20	5
21	30
22	5
23	6
24	1
25	36
26	15
27	2
28	3
29	52
30	16
31	6
32	3
33	70
34	13
35	15
36	3
37	94
38	22
39	12
40	7
41	122
42	32
43	8
44	13
45	1
46	160
47	45
48	12
49	10
50	4
51	206
52	51
53	26
54	8
55	6
56	276
57	49
58	44
59	9
60	7
61	350
62	75
63	30
64	28
65	7
66	448
67	108
68	22
69	38
70	11
71	566

n	a(n)
1	1
2	2
3	2
4	1
5	4
6	1
7	4
8	3
9	8
10	2
11	1
12	10
13	3
14	2
15	14
16	7
17	1
18	20
19	5
20	5
21	30
22	5
23	6
24	1
25	36
26	15
27	2
28	3
29	52
30	16
31	6
32	3
33	70
34	13
35	15
36	3
37	94
38	22
39	12
40	7
41	122
42	32
43	8
44	13
45	1
46	160
47	45
48	12
49	10
50	4
51	206
52	51
53	26
54	8
55	6
56	276
57	49
58	44
59	9
60	7
61	350
62	75
63	30
64	28
65	7
66	448
67	108
68	22
69	38
70	11
71	566

n	a(n)
1	1
2	2
3	2
4	1
5	4
6	1
7	4
8	3
9	8
10	2
11	1
12	10
13	3
14	2
15	14
16	7
17	1
18	20
19	5
20	5
21	30
22	5
23	6
24	1
25	36
26	15
27	2
28	3
29	52
30	16
31	6
32	3
33	70
34	13
35	15
36	3
37	94
38	22
39	12
40	7
41	122
42	32
43	8
44	13
45	1
46	160
47	45
48	12
49	10
50	4
51	206
52	51
53	26
54	8
55	6
56	276
57	49
58	44
59	9
60	7
61	350
62	75
63	30
64	28
65	7
66	448
67	108
68	22
69	38
70	11
71	566