A316293 - cp's OEIS frontend

A316293 Number T(n,k) of permutations p of [n] such that k is the maximum of the partial sums of the signed up-down jump sequence of 0,p; triangle T(n,k), k>=0, k<=n<=k*(k+1)/2, read by columns.

n	a(n)
0	1
1	1
2	2
3	1
4	5
5	8
6	5
7	1
8	16
9	50
10	79
11	69
12	34
13	9
14	1
15	65
16	314
17	872
18	1539
19	1823
20	1494
21	856
22	339
23	89
24	14
25	1
26	326
27	2142
28	8799
29	24818
30	50561
31	76944
32	89546
33	80938
34	57284
35	31771
36	13707
37	4520
38	1103
39	188
40	20
41	1
42	1957
43	16248
44	89273
45	355271
46	1070455
47	2514044
48	4705648

[1, 1, 2, 1, 5, 8, 5, 1, 16, 50, 79, 69, 34, 9, 1, 65, 314, 872, 1539, 1823, 1494, 856, 339, 89, 14, 1, 326, 2142, 8799, 24818, 50561, 76944, 89546, 80938, 57284, 31771, 13707, 4520, 1103, 188, 20, 1, 1957, 16248, 89273, 355271, 1070455, 2514044, 4705648]

cp's OEIS Frontend

A316293 Number T(n,k) of permutations p of [n] such that k is the maximum of the partial sums of the signed up-down jump sequence of 0,p; triangle T(n,k), k>=0, k<=n<=k*(k+1)/2, read by columns.

Table of values

List of values