A333310 - cp's OEIS frontend

A333310 Triangle read by rows: T(n,k) is the number of permutations sigma of [n] such that sigma(1) = k and sigma(j)/j > sigma(j+1)/(j+1) for 1 <= j <= n-1.

n	a(n)
1	1
2	0
3	1
4	0
5	1
6	1
7	0
8	1
9	1
10	1
11	0
12	1
13	2
14	1
15	2
16	0
17	1
18	2
19	2
20	1
21	3
22	0
23	1
24	3
25	5
26	2
27	3
28	5
29	0
30	1
31	3
32	6
33	5
34	3
35	4
36	8
37	0
38	1
39	4
40	8
41	12
42	8
43	5
44	9
45	13
46	0
47	1
48	4
49	12
50	20
51	18
52	8
53	11
54	13
55	21
56	0
57	1
58	5
59	18
60	29
61	42
62	21
63	22
64	19
65	27
66	38
67	0
68	1
69	5
70	23
71	44
72	69
73	48
74	33
75	30
76	33
77	38
78	64

[1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 3, 0, 1, 3, 5, 2, 3, 5, 0, 1, 3, 6, 5, 3, 4, 8, 0, 1, 4, 8, 12, 8, 5, 9, 13, 0, 1, 4, 12, 20, 18, 8, 11, 13, 21, 0, 1, 5, 18, 29, 42, 21, 22, 19, 27, 38, 0, 1, 5, 23, 44, 69, 48, 33, 30, 33, 38, 64]

cp's OEIS Frontend

A333310 Triangle read by rows: T(n,k) is the number of permutations sigma of [n] such that sigma(1) = k and sigma(j)/j > sigma(j+1)/(j+1) for 1 <= j <= n-1.

Table of values

List of values

n	a(n)
1	1
2	0
3	1
4	0
5	1
6	1
7	0
8	1
9	1
10	1
11	0
12	1
13	2
14	1
15	2
16	0
17	1
18	2
19	2
20	1
21	3
22	0
23	1
24	3
25	5
26	2
27	3
28	5
29	0
30	1
31	3
32	6
33	5
34	3
35	4
36	8
37	0
38	1
39	4
40	8
41	12
42	8
43	5
44	9
45	13
46	0
47	1
48	4
49	12
50	20
51	18
52	8
53	11
54	13
55	21
56	0
57	1
58	5
59	18
60	29
61	42
62	21
63	22
64	19
65	27
66	38
67	0
68	1
69	5
70	23
71	44
72	69
73	48
74	33
75	30
76	33
77	38
78	64

n	a(n)
1	1
2	0
3	1
4	0
5	1
6	1
7	0
8	1
9	1
10	1
11	0
12	1
13	2
14	1
15	2
16	0
17	1
18	2
19	2
20	1
21	3
22	0
23	1
24	3
25	5
26	2
27	3
28	5
29	0
30	1
31	3
32	6
33	5
34	3
35	4
36	8
37	0
38	1
39	4
40	8
41	12
42	8
43	5
44	9
45	13
46	0
47	1
48	4
49	12
50	20
51	18
52	8
53	11
54	13
55	21
56	0
57	1
58	5
59	18
60	29
61	42
62	21
63	22
64	19
65	27
66	38
67	0
68	1
69	5
70	23
71	44
72	69
73	48
74	33
75	30
76	33
77	38
78	64

n	a(n)
1	1
2	0
3	1
4	0
5	1
6	1
7	0
8	1
9	1
10	1
11	0
12	1
13	2
14	1
15	2
16	0
17	1
18	2
19	2
20	1
21	3
22	0
23	1
24	3
25	5
26	2
27	3
28	5
29	0
30	1
31	3
32	6
33	5
34	3
35	4
36	8
37	0
38	1
39	4
40	8
41	12
42	8
43	5
44	9
45	13
46	0
47	1
48	4
49	12
50	20
51	18
52	8
53	11
54	13
55	21
56	0
57	1
58	5
59	18
60	29
61	42
62	21
63	22
64	19
65	27
66	38
67	0
68	1
69	5
70	23
71	44
72	69
73	48
74	33
75	30
76	33
77	38
78	64