A227543 - cp's OEIS frontend

A227543 Triangle defined by g.f. A(x,q) such that: A(x,q) = 1 + xA(qx,q)A(x,q), as read by terms k=0..n(n-1)/2 in rows n>=0.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	1
9	3
10	3
11	3
12	2
13	1
14	1
15	1
16	4
17	6
18	7
19	7
20	5
21	5
22	3
23	2
24	1
25	1
26	1
27	5
28	10
29	14
30	17
31	16
32	16
33	14
34	11
35	9
36	7
37	5
38	3
39	2
40	1
41	1
42	1
43	6
44	15
45	25
46	35
47	40
48	43
49	44
50	40
51	37
52	32
53	28
54	22
55	18
56	13
57	11
58	7
59	5
60	3
61	2
62	1
63	1
64	1
65	7
66	21
67	41
68	65
69	86
70	102
71	115
72	118
73	118
74	113
75	106
76	96
77	85
78	73
79	63
80	53
81	42
82	34
83	26
84	20
85	15
86	11
87	7
88	5
89	3
90	2
91	1
92	1

[1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 3, 2, 1, 1, 1, 4, 6, 7, 7, 5, 5, 3, 2, 1, 1, 1, 5, 10, 14, 17, 16, 16, 14, 11, 9, 7, 5, 3, 2, 1, 1, 1, 6, 15, 25, 35, 40, 43, 44, 40, 37, 32, 28, 22, 18, 13, 11, 7, 5, 3, 2, 1, 1, 1, 7, 21, 41, 65, 86, 102, 115, 118, 118, 113, 106, 96, 85, 73, 63, 53, 42, 34, 26, 20, 15, 11, 7, 5, 3, 2, 1, 1]

cp's OEIS Frontend

A227543 Triangle defined by g.f. A(x,q) such that: A(x,q) = 1 + xA(qx,q)A(x,q), as read by terms k=0..n(n-1)/2 in rows n>=0.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	1
9	3
10	3
11	3
12	2
13	1
14	1
15	1
16	4
17	6
18	7
19	7
20	5
21	5
22	3
23	2
24	1
25	1
26	1
27	5
28	10
29	14
30	17
31	16
32	16
33	14
34	11
35	9
36	7
37	5
38	3
39	2
40	1
41	1
42	1
43	6
44	15
45	25
46	35
47	40
48	43
49	44
50	40
51	37
52	32
53	28
54	22
55	18
56	13
57	11
58	7
59	5
60	3
61	2
62	1
63	1
64	1
65	7
66	21
67	41
68	65
69	86
70	102
71	115
72	118
73	118
74	113
75	106
76	96
77	85
78	73
79	63
80	53
81	42
82	34
83	26
84	20
85	15
86	11
87	7
88	5
89	3
90	2
91	1
92	1

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	1
9	3
10	3
11	3
12	2
13	1
14	1
15	1
16	4
17	6
18	7
19	7
20	5
21	5
22	3
23	2
24	1
25	1
26	1
27	5
28	10
29	14
30	17
31	16
32	16
33	14
34	11
35	9
36	7
37	5
38	3
39	2
40	1
41	1
42	1
43	6
44	15
45	25
46	35
47	40
48	43
49	44
50	40
51	37
52	32
53	28
54	22
55	18
56	13
57	11
58	7
59	5
60	3
61	2
62	1
63	1
64	1
65	7
66	21
67	41
68	65
69	86
70	102
71	115
72	118
73	118
74	113
75	106
76	96
77	85
78	73
79	63
80	53
81	42
82	34
83	26
84	20
85	15
86	11
87	7
88	5
89	3
90	2
91	1
92	1

cp's OEIS Frontend

A227543 Triangle defined by g.f. A(x,q) such that: A(x,q) = 1 + x*A(q*x,q)*A(x,q), as read by terms k=0..n*(n-1)/2 in rows n>=0.

Table of values

List of values

A227543 Triangle defined by g.f. A(x,q) such that: A(x,q) = 1 + xA(qx,q)A(x,q), as read by terms k=0..n(n-1)/2 in rows n>=0.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	1
9	3
10	3
11	3
12	2
13	1
14	1
15	1
16	4
17	6
18	7
19	7
20	5
21	5
22	3
23	2
24	1
25	1
26	1
27	5
28	10
29	14
30	17
31	16
32	16
33	14
34	11
35	9
36	7
37	5
38	3
39	2
40	1
41	1
42	1
43	6
44	15
45	25
46	35
47	40
48	43
49	44
50	40
51	37
52	32
53	28
54	22
55	18
56	13
57	11
58	7
59	5
60	3
61	2
62	1
63	1
64	1
65	7
66	21
67	41
68	65
69	86
70	102
71	115
72	118
73	118
74	113
75	106
76	96
77	85
78	73
79	63
80	53
81	42
82	34
83	26
84	20
85	15
86	11
87	7
88	5
89	3
90	2
91	1
92	1