A193515 - cp's OEIS frontend

A193515 T(n,k) = number of ways to place any number of 3X1 tiles of k distinguishable colors into an nX1 grid.

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	2
7	1
8	1
9	3
10	3
11	1
12	1
13	4
14	5
15	4
16	1
17	1
18	5
19	7
20	7
21	6
22	1
23	1
24	6
25	9
26	10
27	13
28	9
29	1
30	1
31	7
32	11
33	13
34	22
35	23
36	13
37	1
38	1
39	8
40	13
41	16
42	33
43	43
44	37
45	19
46	1
47	1
48	9
49	15
50	19
51	46
52	69
53	73
54	63
55	28
56	1
57	1
58	10
59	17
60	22
61	61
62	101
63	121
64	139
65	109
66	41
67	1
68	1
69	11
70	19
71	25
72	78
73	139
74	181
75	253
76	268
77	183
78	60
79	1
80	1
81	12

[1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 5, 4, 1, 1, 5, 7, 7, 6, 1, 1, 6, 9, 10, 13, 9, 1, 1, 7, 11, 13, 22, 23, 13, 1, 1, 8, 13, 16, 33, 43, 37, 19, 1, 1, 9, 15, 19, 46, 69, 73, 63, 28, 1, 1, 10, 17, 22, 61, 101, 121, 139, 109, 41, 1, 1, 11, 19, 25, 78, 139, 181, 253, 268, 183, 60, 1, 1, 12]

cp's OEIS Frontend

A193515 T(n,k) = number of ways to place any number of 3X1 tiles of k distinguishable colors into an nX1 grid.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	2
7	1
8	1
9	3
10	3
11	1
12	1
13	4
14	5
15	4
16	1
17	1
18	5
19	7
20	7
21	6
22	1
23	1
24	6
25	9
26	10
27	13
28	9
29	1
30	1
31	7
32	11
33	13
34	22
35	23
36	13
37	1
38	1
39	8
40	13
41	16
42	33
43	43
44	37
45	19
46	1
47	1
48	9
49	15
50	19
51	46
52	69
53	73
54	63
55	28
56	1
57	1
58	10
59	17
60	22
61	61
62	101
63	121
64	139
65	109
66	41
67	1
68	1
69	11
70	19
71	25
72	78
73	139
74	181
75	253
76	268
77	183
78	60
79	1
80	1
81	12

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	2
7	1
8	1
9	3
10	3
11	1
12	1
13	4
14	5
15	4
16	1
17	1
18	5
19	7
20	7
21	6
22	1
23	1
24	6
25	9
26	10
27	13
28	9
29	1
30	1
31	7
32	11
33	13
34	22
35	23
36	13
37	1
38	1
39	8
40	13
41	16
42	33
43	43
44	37
45	19
46	1
47	1
48	9
49	15
50	19
51	46
52	69
53	73
54	63
55	28
56	1
57	1
58	10
59	17
60	22
61	61
62	101
63	121
64	139
65	109
66	41
67	1
68	1
69	11
70	19
71	25
72	78
73	139
74	181
75	253
76	268
77	183
78	60
79	1
80	1
81	12

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	2
7	1
8	1
9	3
10	3
11	1
12	1
13	4
14	5
15	4
16	1
17	1
18	5
19	7
20	7
21	6
22	1
23	1
24	6
25	9
26	10
27	13
28	9
29	1
30	1
31	7
32	11
33	13
34	22
35	23
36	13
37	1
38	1
39	8
40	13
41	16
42	33
43	43
44	37
45	19
46	1
47	1
48	9
49	15
50	19
51	46
52	69
53	73
54	63
55	28
56	1
57	1
58	10
59	17
60	22
61	61
62	101
63	121
64	139
65	109
66	41
67	1
68	1
69	11
70	19
71	25
72	78
73	139
74	181
75	253
76	268
77	183
78	60
79	1
80	1
81	12