A303697 - cp's OEIS frontend

A303697 Number T(n,k) of permutations p of [n] whose difference between sum of up-jumps and sum of down-jumps equals k; triangle T(n,k), n>=0, min(0,1-n)<=k<=max(0,n-1), read by rows.

n	a(n)
0	1
1	1
2	1
3	0
4	1
5	1
6	1
7	2
8	1
9	1
10	1
11	4
12	5
13	4
14	5
15	4
16	1
17	1
18	11
19	19
20	19
21	20
22	19
23	19
24	11
25	1
26	1
27	26
28	82
29	100
30	101
31	100
32	101
33	100
34	82
35	26
36	1
37	1
38	57
39	334
40	580
41	619
42	619
43	620
44	619
45	619
46	580
47	334
48	57
49	1
50	1
51	120
52	1255
53	3394
54	4339
55	4420
56	4421
57	4420
58	4421
59	4420
60	4339
61	3394
62	1255
63	120
64	1

[1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 4, 5, 4, 5, 4, 1, 1, 11, 19, 19, 20, 19, 19, 11, 1, 1, 26, 82, 100, 101, 100, 101, 100, 82, 26, 1, 1, 57, 334, 580, 619, 619, 620, 619, 619, 580, 334, 57, 1, 1, 120, 1255, 3394, 4339, 4420, 4421, 4420, 4421, 4420, 4339, 3394, 1255, 120, 1]

cp's OEIS Frontend

A303697 Number T(n,k) of permutations p of [n] whose difference between sum of up-jumps and sum of down-jumps equals k; triangle T(n,k), n>=0, min(0,1-n)<=k<=max(0,n-1), read by rows.

Table of values

List of values