A291722 - cp's OEIS frontend

A291722 Number T(n,k) of permutations p of [n] such that in 0p the sum of all jumps equals k + n; triangle T(n,k), n >= 0, 0 <= k <= n*(n-1)/2, read by rows.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	3
6	1
7	1
8	1
9	6
10	6
11	5
12	4
13	1
14	1
15	1
16	10
17	20
18	20
19	26
20	15
21	15
22	6
23	5
24	1
25	1
26	1
27	15
28	50
29	70
30	105
31	106
32	104
33	90
34	65
35	51
36	27
37	21
38	7
39	6
40	1
41	1
42	1
43	21
44	105
45	210
46	350
47	497
48	554
49	644
50	567
51	574
52	420
53	386
54	238
55	203
56	105
57	85
58	35
59	28
60	8
61	7
62	1
63	1

[1, 1, 1, 1, 1, 3, 1, 1, 1, 6, 6, 5, 4, 1, 1, 1, 10, 20, 20, 26, 15, 15, 6, 5, 1, 1, 1, 15, 50, 70, 105, 106, 104, 90, 65, 51, 27, 21, 7, 6, 1, 1, 1, 21, 105, 210, 350, 497, 554, 644, 567, 574, 420, 386, 238, 203, 105, 85, 35, 28, 8, 7, 1, 1]

cp's OEIS Frontend

A291722 Number T(n,k) of permutations p of [n] such that in 0p the sum of all jumps equals k + n; triangle T(n,k), n >= 0, 0 <= k <= n*(n-1)/2, read by rows.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	3
6	1
7	1
8	1
9	6
10	6
11	5
12	4
13	1
14	1
15	1
16	10
17	20
18	20
19	26
20	15
21	15
22	6
23	5
24	1
25	1
26	1
27	15
28	50
29	70
30	105
31	106
32	104
33	90
34	65
35	51
36	27
37	21
38	7
39	6
40	1
41	1
42	1
43	21
44	105
45	210
46	350
47	497
48	554
49	644
50	567
51	574
52	420
53	386
54	238
55	203
56	105
57	85
58	35
59	28
60	8
61	7
62	1
63	1

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	3
6	1
7	1
8	1
9	6
10	6
11	5
12	4
13	1
14	1
15	1
16	10
17	20
18	20
19	26
20	15
21	15
22	6
23	5
24	1
25	1
26	1
27	15
28	50
29	70
30	105
31	106
32	104
33	90
34	65
35	51
36	27
37	21
38	7
39	6
40	1
41	1
42	1
43	21
44	105
45	210
46	350
47	497
48	554
49	644
50	567
51	574
52	420
53	386
54	238
55	203
56	105
57	85
58	35
59	28
60	8
61	7
62	1
63	1

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	3
6	1
7	1
8	1
9	6
10	6
11	5
12	4
13	1
14	1
15	1
16	10
17	20
18	20
19	26
20	15
21	15
22	6
23	5
24	1
25	1
26	1
27	15
28	50
29	70
30	105
31	106
32	104
33	90
34	65
35	51
36	27
37	21
38	7
39	6
40	1
41	1
42	1
43	21
44	105
45	210
46	350
47	497
48	554
49	644
50	567
51	574
52	420
53	386
54	238
55	203
56	105
57	85
58	35
59	28
60	8
61	7
62	1
63	1