A316292 - cp's OEIS frontend

A316292 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), n>=0, ceiling((sqrt(1+8*n)-1)/2)<=k<=n, read by rows.

n	a(n)
0	1
1	1
2	2
3	1
4	5
5	8
6	16
7	5
8	50
9	65
10	1
11	79
12	314
13	326
14	69
15	872
16	2142
17	1957
18	34
19	1539
20	8799
21	16248
22	13700
23	9
24	1823
25	24818
26	89273
27	137356
28	109601
29	1
30	1494
31	50561
32	355271
33	947713
34	1287350
35	986410
36	856
37	76944
38	1070455
39	4923428
40	10699558
41	13281458
42	9864101

[1, 1, 2, 1, 5, 8, 16, 5, 50, 65, 1, 79, 314, 326, 69, 872, 2142, 1957, 34, 1539, 8799, 16248, 13700, 9, 1823, 24818, 89273, 137356, 109601, 1, 1494, 50561, 355271, 947713, 1287350, 986410, 856, 76944, 1070455, 4923428, 10699558, 13281458, 9864101]

cp's OEIS Frontend

A316292 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), n>=0, ceiling((sqrt(1+8*n)-1)/2)<=k<=n, read by rows.

Table of values

List of values