A162499 - cp's OEIS frontend

A162499 Triangle read by rows in which row n gives coefficients of the expansion of the polynomial Product( (1-x^(3*k))/(1-x), k=1..n).

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	3
7	3
8	3
9	3
10	2
11	1
12	1
13	3
14	6
15	9
16	12
17	15
18	17
19	18
20	18
21	17
22	15
23	12
24	9
25	6
26	3
27	1
28	1
29	4
30	10
31	19
32	31
33	46
34	63
35	81
36	99
37	116
38	131
39	143
40	151
41	154
42	151
43	143
44	131
45	116
46	99
47	81
48	63
49	46
50	31
51	19
52	10
53	4
54	1
55	1
56	5
57	15
58	34
59	65
60	111
61	174
62	255
63	354
64	470
65	601
66	744
67	895

[1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 2, 1, 1, 3, 6, 9, 12, 15, 17, 18, 18, 17, 15, 12, 9, 6, 3, 1, 1, 4, 10, 19, 31, 46, 63, 81, 99, 116, 131, 143, 151, 154, 151, 143, 131, 116, 99, 81, 63, 46, 31, 19, 10, 4, 1, 1, 5, 15, 34, 65, 111, 174, 255, 354, 470, 601, 744, 895]

cp's OEIS Frontend

A162499 Triangle read by rows in which row n gives coefficients of the expansion of the polynomial Product( (1-x^(3*k))/(1-x), k=1..n).

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	3
7	3
8	3
9	3
10	2
11	1
12	1
13	3
14	6
15	9
16	12
17	15
18	17
19	18
20	18
21	17
22	15
23	12
24	9
25	6
26	3
27	1
28	1
29	4
30	10
31	19
32	31
33	46
34	63
35	81
36	99
37	116
38	131
39	143
40	151
41	154
42	151
43	143
44	131
45	116
46	99
47	81
48	63
49	46
50	31
51	19
52	10
53	4
54	1
55	1
56	5
57	15
58	34
59	65
60	111
61	174
62	255
63	354
64	470
65	601
66	744
67	895

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	3
7	3
8	3
9	3
10	2
11	1
12	1
13	3
14	6
15	9
16	12
17	15
18	17
19	18
20	18
21	17
22	15
23	12
24	9
25	6
26	3
27	1
28	1
29	4
30	10
31	19
32	31
33	46
34	63
35	81
36	99
37	116
38	131
39	143
40	151
41	154
42	151
43	143
44	131
45	116
46	99
47	81
48	63
49	46
50	31
51	19
52	10
53	4
54	1
55	1
56	5
57	15
58	34
59	65
60	111
61	174
62	255
63	354
64	470
65	601
66	744
67	895

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	3
7	3
8	3
9	3
10	2
11	1
12	1
13	3
14	6
15	9
16	12
17	15
18	17
19	18
20	18
21	17
22	15
23	12
24	9
25	6
26	3
27	1
28	1
29	4
30	10
31	19
32	31
33	46
34	63
35	81
36	99
37	116
38	131
39	143
40	151
41	154
42	151
43	143
44	131
45	116
46	99
47	81
48	63
49	46
50	31
51	19
52	10
53	4
54	1
55	1
56	5
57	15
58	34
59	65
60	111
61	174
62	255
63	354
64	470
65	601
66	744
67	895