A202363 - cp's OEIS frontend

A202363 Triangular array read by rows: T(n,k) is the number of inversion pairs ( p(i) < p(j) with i>j ) that are separated by exactly k elements in all n-permutations (where the permutation is represented in one line notation); n>=2, 0<=k<=n-2.

n	a(n)
2	1
3	6
4	3
5	36
6	24
7	12
8	240
9	180
10	120
11	60
12	1800
13	1440
14	1080
15	720
16	360
17	15120
18	12600
19	10080
20	7560
21	5040
22	2520
23	141120
24	120960
25	100800
26	80640
27	60480
28	40320
29	20160
30	1451520
31	1270080
32	1088640
33	907200
34	725760
35	544320
36	362880
37	181440
38	16329600
39	14515200
40	12700800
41	10886400
42	9072000
43	7257600
44	5443200
45	3628800
46	1814400

[1, 6, 3, 36, 24, 12, 240, 180, 120, 60, 1800, 1440, 1080, 720, 360, 15120, 12600, 10080, 7560, 5040, 2520, 141120, 120960, 100800, 80640, 60480, 40320, 20160, 1451520, 1270080, 1088640, 907200, 725760, 544320, 362880, 181440, 16329600, 14515200, 12700800, 10886400, 9072000, 7257600, 5443200, 3628800, 1814400]

cp's OEIS Frontend

A202363 Triangular array read by rows: T(n,k) is the number of inversion pairs ( p(i) < p(j) with i>j ) that are separated by exactly k elements in all n-permutations (where the permutation is represented in one line notation); n>=2, 0<=k<=n-2.

Table of values

List of values