A200068 - cp's OEIS frontend

A200068 Irregular triangle read by rows: T(n,k), n>=0, 0<=k<=A200067(n), is number of compositions of n such that the sum of weighted inversions equals k and weights are products of absolute differences and distances between the element pairs which are not in sorted order.

n	a(n)
0	1
1	1
2	2
3	3
4	1
5	5
6	1
7	1
8	1
9	7
10	3
11	1
12	3
13	0
14	0
15	2
16	11
17	4
18	2
19	4
20	3
21	1
22	3
23	0
24	1
25	1
26	1
27	0
28	1
29	15
30	8
31	3
32	8
33	3
34	3
35	7
36	1
37	2
38	3
39	1
40	3
41	2
42	0
43	1
44	2
45	0
46	0
47	1
48	0
49	1
50	22
51	11
52	7
53	12
54	4
55	5
56	13
57	5
58	4
59	7
60	4
61	4
62	5
63	0
64	3
65	6
66	2
67	1
68	2
69	1
70	2
71	3
72	0
73	0
74	2
75	1
76	0
77	0
78	0
79	0
80	2

[1, 1, 2, 3, 1, 5, 1, 1, 1, 7, 3, 1, 3, 0, 0, 2, 11, 4, 2, 4, 3, 1, 3, 0, 1, 1, 1, 0, 1, 15, 8, 3, 8, 3, 3, 7, 1, 2, 3, 1, 3, 2, 0, 1, 2, 0, 0, 1, 0, 1, 22, 11, 7, 12, 4, 5, 13, 5, 4, 7, 4, 4, 5, 0, 3, 6, 2, 1, 2, 1, 2, 3, 0, 0, 2, 1, 0, 0, 0, 0, 2]

cp's OEIS Frontend

A200068 Irregular triangle read by rows: T(n,k), n>=0, 0<=k<=A200067(n), is number of compositions of n such that the sum of weighted inversions equals k and weights are products of absolute differences and distances between the element pairs which are not in sorted order.

Table of values

List of values

n	a(n)
0	1
1	1
2	2
3	3
4	1
5	5
6	1
7	1
8	1
9	7
10	3
11	1
12	3
13	0
14	0
15	2
16	11
17	4
18	2
19	4
20	3
21	1
22	3
23	0
24	1
25	1
26	1
27	0
28	1
29	15
30	8
31	3
32	8
33	3
34	3
35	7
36	1
37	2
38	3
39	1
40	3
41	2
42	0
43	1
44	2
45	0
46	0
47	1
48	0
49	1
50	22
51	11
52	7
53	12
54	4
55	5
56	13
57	5
58	4
59	7
60	4
61	4
62	5
63	0
64	3
65	6
66	2
67	1
68	2
69	1
70	2
71	3
72	0
73	0
74	2
75	1
76	0
77	0
78	0
79	0
80	2

n	a(n)
0	1
1	1
2	2
3	3
4	1
5	5
6	1
7	1
8	1
9	7
10	3
11	1
12	3
13	0
14	0
15	2
16	11
17	4
18	2
19	4
20	3
21	1
22	3
23	0
24	1
25	1
26	1
27	0
28	1
29	15
30	8
31	3
32	8
33	3
34	3
35	7
36	1
37	2
38	3
39	1
40	3
41	2
42	0
43	1
44	2
45	0
46	0
47	1
48	0
49	1
50	22
51	11
52	7
53	12
54	4
55	5
56	13
57	5
58	4
59	7
60	4
61	4
62	5
63	0
64	3
65	6
66	2
67	1
68	2
69	1
70	2
71	3
72	0
73	0
74	2
75	1
76	0
77	0
78	0
79	0
80	2

n	a(n)
0	1
1	1
2	2
3	3
4	1
5	5
6	1
7	1
8	1
9	7
10	3
11	1
12	3
13	0
14	0
15	2
16	11
17	4
18	2
19	4
20	3
21	1
22	3
23	0
24	1
25	1
26	1
27	0
28	1
29	15
30	8
31	3
32	8
33	3
34	3
35	7
36	1
37	2
38	3
39	1
40	3
41	2
42	0
43	1
44	2
45	0
46	0
47	1
48	0
49	1
50	22
51	11
52	7
53	12
54	4
55	5
56	13
57	5
58	4
59	7
60	4
61	4
62	5
63	0
64	3
65	6
66	2
67	1
68	2
69	1
70	2
71	3
72	0
73	0
74	2
75	1
76	0
77	0
78	0
79	0
80	2