A189074 - cp's OEIS frontend

A189074 Irregular triangle read by rows: T(n,k) = number of compositions of n with k inversions (n >= 0, 0 <= k <= floor(n^2/8)).

n	a(n)
0	1
1	1
2	2
3	3
4	1
5	5
6	2
7	1
8	7
9	5
10	3
11	1
12	11
13	8
14	7
15	4
16	2
17	15
18	15
19	14
20	10
21	6
22	3
23	1
24	22
25	23
26	26
27	21
28	17
29	10
30	6
31	2
32	1
33	30
34	37
35	44
36	42
37	36
38	27
39	19
40	11
41	6
42	3
43	1
44	42
45	55
46	73
47	74
48	73
49	60
50	50
51	34
52	24
53	13
54	8
55	4
56	2
57	56
58	83
59	115
60	128
61	133
62	123
63	109
64	87
65	68
66	48
67	32
68	20
69	12
70	6
71	3
72	1
73	77
74	118
75	177
76	209
77	235
78	230
79	223
80	192
81	166
82	129
83	100
84	70
85	51
86	31
87	20
88	11
89	6
90	2
91	1

[1, 1, 2, 3, 1, 5, 2, 1, 7, 5, 3, 1, 11, 8, 7, 4, 2, 15, 15, 14, 10, 6, 3, 1, 22, 23, 26, 21, 17, 10, 6, 2, 1, 30, 37, 44, 42, 36, 27, 19, 11, 6, 3, 1, 42, 55, 73, 74, 73, 60, 50, 34, 24, 13, 8, 4, 2, 56, 83, 115, 128, 133, 123, 109, 87, 68, 48, 32, 20, 12, 6, 3, 1, 77, 118, 177, 209, 235, 230, 223, 192, 166, 129, 100, 70, 51, 31, 20, 11, 6, 2, 1]

cp's OEIS Frontend

A189074 Irregular triangle read by rows: T(n,k) = number of compositions of n with k inversions (n >= 0, 0 <= k <= floor(n^2/8)).

Table of values

List of values

n	a(n)
0	1
1	1
2	2
3	3
4	1
5	5
6	2
7	1
8	7
9	5
10	3
11	1
12	11
13	8
14	7
15	4
16	2
17	15
18	15
19	14
20	10
21	6
22	3
23	1
24	22
25	23
26	26
27	21
28	17
29	10
30	6
31	2
32	1
33	30
34	37
35	44
36	42
37	36
38	27
39	19
40	11
41	6
42	3
43	1
44	42
45	55
46	73
47	74
48	73
49	60
50	50
51	34
52	24
53	13
54	8
55	4
56	2
57	56
58	83
59	115
60	128
61	133
62	123
63	109
64	87
65	68
66	48
67	32
68	20
69	12
70	6
71	3
72	1
73	77
74	118
75	177
76	209
77	235
78	230
79	223
80	192
81	166
82	129
83	100
84	70
85	51
86	31
87	20
88	11
89	6
90	2
91	1

n	a(n)
0	1
1	1
2	2
3	3
4	1
5	5
6	2
7	1
8	7
9	5
10	3
11	1
12	11
13	8
14	7
15	4
16	2
17	15
18	15
19	14
20	10
21	6
22	3
23	1
24	22
25	23
26	26
27	21
28	17
29	10
30	6
31	2
32	1
33	30
34	37
35	44
36	42
37	36
38	27
39	19
40	11
41	6
42	3
43	1
44	42
45	55
46	73
47	74
48	73
49	60
50	50
51	34
52	24
53	13
54	8
55	4
56	2
57	56
58	83
59	115
60	128
61	133
62	123
63	109
64	87
65	68
66	48
67	32
68	20
69	12
70	6
71	3
72	1
73	77
74	118
75	177
76	209
77	235
78	230
79	223
80	192
81	166
82	129
83	100
84	70
85	51
86	31
87	20
88	11
89	6
90	2
91	1

n	a(n)
0	1
1	1
2	2
3	3
4	1
5	5
6	2
7	1
8	7
9	5
10	3
11	1
12	11
13	8
14	7
15	4
16	2
17	15
18	15
19	14
20	10
21	6
22	3
23	1
24	22
25	23
26	26
27	21
28	17
29	10
30	6
31	2
32	1
33	30
34	37
35	44
36	42
37	36
38	27
39	19
40	11
41	6
42	3
43	1
44	42
45	55
46	73
47	74
48	73
49	60
50	50
51	34
52	24
53	13
54	8
55	4
56	2
57	56
58	83
59	115
60	128
61	133
62	123
63	109
64	87
65	68
66	48
67	32
68	20
69	12
70	6
71	3
72	1
73	77
74	118
75	177
76	209
77	235
78	230
79	223
80	192
81	166
82	129
83	100
84	70
85	51
86	31
87	20
88	11
89	6
90	2
91	1