A332954 - cp's OEIS frontend

A332954 Triangle read by rows: T(n,k) is the number of permutations sigma of [n] such that sigma(j)/(j+k) > sigma(j+1)/(j+k+1) for 1 <= j <= n-1.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	2
7	1
8	1
9	1
10	3
11	2
12	1
13	1
14	1
15	6
16	3
17	2
18	1
19	1
20	1
21	9
22	5
23	3
24	2
25	1
26	1
27	1
28	19
29	8
30	5
31	3
32	2
33	1
34	1
35	1
36	30
37	13
38	7
39	5
40	3
41	2
42	1
43	1
44	1
45	60
46	21
47	12
48	7
49	5
50	3
51	2
52	1
53	1
54	1
55	108
56	38
57	17
58	11
59	7
60	5
61	3
62	2
63	1
64	1
65	1

[1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 1, 6, 3, 2, 1, 1, 1, 9, 5, 3, 2, 1, 1, 1, 19, 8, 5, 3, 2, 1, 1, 1, 30, 13, 7, 5, 3, 2, 1, 1, 1, 60, 21, 12, 7, 5, 3, 2, 1, 1, 1, 108, 38, 17, 11, 7, 5, 3, 2, 1, 1, 1]

cp's OEIS Frontend

A332954 Triangle read by rows: T(n,k) is the number of permutations sigma of [n] such that sigma(j)/(j+k) > sigma(j+1)/(j+k+1) for 1 <= j <= n-1.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	2
7	1
8	1
9	1
10	3
11	2
12	1
13	1
14	1
15	6
16	3
17	2
18	1
19	1
20	1
21	9
22	5
23	3
24	2
25	1
26	1
27	1
28	19
29	8
30	5
31	3
32	2
33	1
34	1
35	1
36	30
37	13
38	7
39	5
40	3
41	2
42	1
43	1
44	1
45	60
46	21
47	12
48	7
49	5
50	3
51	2
52	1
53	1
54	1
55	108
56	38
57	17
58	11
59	7
60	5
61	3
62	2
63	1
64	1
65	1

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	2
7	1
8	1
9	1
10	3
11	2
12	1
13	1
14	1
15	6
16	3
17	2
18	1
19	1
20	1
21	9
22	5
23	3
24	2
25	1
26	1
27	1
28	19
29	8
30	5
31	3
32	2
33	1
34	1
35	1
36	30
37	13
38	7
39	5
40	3
41	2
42	1
43	1
44	1
45	60
46	21
47	12
48	7
49	5
50	3
51	2
52	1
53	1
54	1
55	108
56	38
57	17
58	11
59	7
60	5
61	3
62	2
63	1
64	1
65	1

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	2
7	1
8	1
9	1
10	3
11	2
12	1
13	1
14	1
15	6
16	3
17	2
18	1
19	1
20	1
21	9
22	5
23	3
24	2
25	1
26	1
27	1
28	19
29	8
30	5
31	3
32	2
33	1
34	1
35	1
36	30
37	13
38	7
39	5
40	3
41	2
42	1
43	1
44	1
45	60
46	21
47	12
48	7
49	5
50	3
51	2
52	1
53	1
54	1
55	108
56	38
57	17
58	11
59	7
60	5
61	3
62	2
63	1
64	1
65	1