A129529 - cp's OEIS frontend

A129529 Triangle read by rows: T(n,k) is the number of ternary words of length n on {0,1,2} that have k inversions (n >= 0, k >= 0).

n	a(n)
0	1
1	3
2	6
3	3
4	10
5	8
6	8
7	1
8	15
9	15
10	21
11	18
12	9
13	3
14	21
15	24
16	39
17	45
18	48
19	30
20	24
21	9
22	3
23	28
24	35
25	62
26	82
27	107
28	108
29	101
30	81
31	62
32	37
33	17
34	8
35	1
36	36
37	48
38	90
39	129
40	186
41	222
42	264
43	252
44	255
45	219
46	183
47	126
48	90
49	48
50	27
51	9
52	3
53	45
54	63
55	123
56	186
57	285
58	372
59	492
60	561
61	624
62	648
63	651
64	597
65	537
66	435
67	336
68	249
69	165
70	99
71	54
72	27
73	9
74	3

[1, 3, 6, 3, 10, 8, 8, 1, 15, 15, 21, 18, 9, 3, 21, 24, 39, 45, 48, 30, 24, 9, 3, 28, 35, 62, 82, 107, 108, 101, 81, 62, 37, 17, 8, 1, 36, 48, 90, 129, 186, 222, 264, 252, 255, 219, 183, 126, 90, 48, 27, 9, 3, 45, 63, 123, 186, 285, 372, 492, 561, 624, 648, 651, 597, 537, 435, 336, 249, 165, 99, 54, 27, 9, 3]

cp's OEIS Frontend

A129529 Triangle read by rows: T(n,k) is the number of ternary words of length n on {0,1,2} that have k inversions (n >= 0, k >= 0).

Table of values

List of values

n	a(n)
0	1
1	3
2	6
3	3
4	10
5	8
6	8
7	1
8	15
9	15
10	21
11	18
12	9
13	3
14	21
15	24
16	39
17	45
18	48
19	30
20	24
21	9
22	3
23	28
24	35
25	62
26	82
27	107
28	108
29	101
30	81
31	62
32	37
33	17
34	8
35	1
36	36
37	48
38	90
39	129
40	186
41	222
42	264
43	252
44	255
45	219
46	183
47	126
48	90
49	48
50	27
51	9
52	3
53	45
54	63
55	123
56	186
57	285
58	372
59	492
60	561
61	624
62	648
63	651
64	597
65	537
66	435
67	336
68	249
69	165
70	99
71	54
72	27
73	9
74	3

n	a(n)
0	1
1	3
2	6
3	3
4	10
5	8
6	8
7	1
8	15
9	15
10	21
11	18
12	9
13	3
14	21
15	24
16	39
17	45
18	48
19	30
20	24
21	9
22	3
23	28
24	35
25	62
26	82
27	107
28	108
29	101
30	81
31	62
32	37
33	17
34	8
35	1
36	36
37	48
38	90
39	129
40	186
41	222
42	264
43	252
44	255
45	219
46	183
47	126
48	90
49	48
50	27
51	9
52	3
53	45
54	63
55	123
56	186
57	285
58	372
59	492
60	561
61	624
62	648
63	651
64	597
65	537
66	435
67	336
68	249
69	165
70	99
71	54
72	27
73	9
74	3

n	a(n)
0	1
1	3
2	6
3	3
4	10
5	8
6	8
7	1
8	15
9	15
10	21
11	18
12	9
13	3
14	21
15	24
16	39
17	45
18	48
19	30
20	24
21	9
22	3
23	28
24	35
25	62
26	82
27	107
28	108
29	101
30	81
31	62
32	37
33	17
34	8
35	1
36	36
37	48
38	90
39	129
40	186
41	222
42	264
43	252
44	255
45	219
46	183
47	126
48	90
49	48
50	27
51	9
52	3
53	45
54	63
55	123
56	186
57	285
58	372
59	492
60	561
61	624
62	648
63	651
64	597
65	537
66	435
67	336
68	249
69	165
70	99
71	54
72	27
73	9
74	3