A290320 - cp's OEIS frontend

A290320 Write 1 - t * x/(1-x) as an inverse power product 1/(1+c(1)x) * 1/(1+c(2)x^2) * 1/(1+c(3)x^3) * ... The sequence is a regular triangle where T(n,k) is the coefficient of t^k in c(n), 1 <= k <= n.

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	0
7	1
8	2
9	2
10	1
11	1
12	2
13	2
14	1
15	0
16	1
17	3
18	4
19	2
20	0
21	0
22	1
23	3
24	5
25	5
26	3
27	1
28	0
29	1
30	4
31	9
32	13
33	13
34	9
35	4
36	1
37	1
38	4
39	9
40	13
41	13
42	9
43	4
44	1
45	0
46	1
47	5
48	14
49	25
50	30
51	24
52	12
53	3
54	0
55	0
56	1
57	5
58	15
59	30
60	42
61	42
62	30
63	15
64	5
65	1
66	0
67	1
68	6
69	21
70	48
71	75
72	81
73	60
74	30
75	10
76	2
77	0
78	0

[1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 3, 4, 2, 0, 0, 1, 3, 5, 5, 3, 1, 0, 1, 4, 9, 13, 13, 9, 4, 1, 1, 4, 9, 13, 13, 9, 4, 1, 0, 1, 5, 14, 25, 30, 24, 12, 3, 0, 0, 1, 5, 15, 30, 42, 42, 30, 15, 5, 1, 0, 1, 6, 21, 48, 75, 81, 60, 30, 10, 2, 0, 0]

cp's OEIS Frontend

A290320 Write 1 - t * x/(1-x) as an inverse power product 1/(1+c(1)x) * 1/(1+c(2)x^2) * 1/(1+c(3)x^3) * ... The sequence is a regular triangle where T(n,k) is the coefficient of t^k in c(n), 1 <= k <= n.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	0
7	1
8	2
9	2
10	1
11	1
12	2
13	2
14	1
15	0
16	1
17	3
18	4
19	2
20	0
21	0
22	1
23	3
24	5
25	5
26	3
27	1
28	0
29	1
30	4
31	9
32	13
33	13
34	9
35	4
36	1
37	1
38	4
39	9
40	13
41	13
42	9
43	4
44	1
45	0
46	1
47	5
48	14
49	25
50	30
51	24
52	12
53	3
54	0
55	0
56	1
57	5
58	15
59	30
60	42
61	42
62	30
63	15
64	5
65	1
66	0
67	1
68	6
69	21
70	48
71	75
72	81
73	60
74	30
75	10
76	2
77	0
78	0

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	0
7	1
8	2
9	2
10	1
11	1
12	2
13	2
14	1
15	0
16	1
17	3
18	4
19	2
20	0
21	0
22	1
23	3
24	5
25	5
26	3
27	1
28	0
29	1
30	4
31	9
32	13
33	13
34	9
35	4
36	1
37	1
38	4
39	9
40	13
41	13
42	9
43	4
44	1
45	0
46	1
47	5
48	14
49	25
50	30
51	24
52	12
53	3
54	0
55	0
56	1
57	5
58	15
59	30
60	42
61	42
62	30
63	15
64	5
65	1
66	0
67	1
68	6
69	21
70	48
71	75
72	81
73	60
74	30
75	10
76	2
77	0
78	0

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	0
7	1
8	2
9	2
10	1
11	1
12	2
13	2
14	1
15	0
16	1
17	3
18	4
19	2
20	0
21	0
22	1
23	3
24	5
25	5
26	3
27	1
28	0
29	1
30	4
31	9
32	13
33	13
34	9
35	4
36	1
37	1
38	4
39	9
40	13
41	13
42	9
43	4
44	1
45	0
46	1
47	5
48	14
49	25
50	30
51	24
52	12
53	3
54	0
55	0
56	1
57	5
58	15
59	30
60	42
61	42
62	30
63	15
64	5
65	1
66	0
67	1
68	6
69	21
70	48
71	75
72	81
73	60
74	30
75	10
76	2
77	0
78	0