A264591 - cp's OEIS frontend

A264591 Let G[1](q) denote the g.f. for A003114 and G[2](q) the g.f. for A003106 (the two Rogers-Ramanujan identities). For i>=3, let G[i](q) = (G[i-1](q)-G[i-2](q))/q^(i-2). Sequence gives coefficients of G[4](q).

n	a(n)
0	1
1	0
2	0
3	0
4	1
5	1
6	1
7	1
8	1
9	1
10	2
11	2
12	3
13	3
14	4
15	4
16	5
17	5
18	7
19	7
20	9
21	10
22	12
23	13
24	16
25	17
26	20
27	22
28	26
29	28
30	33
31	36
32	42
33	46
34	53
35	58
36	67
37	73
38	83
39	91
40	104
41	113
42	128
43	140
44	158
45	173
46	194
47	212
48	238
49	260
50	290
51	317
52	353
53	385
54	428
55	467
56	517
57	564

[1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 7, 7, 9, 10, 12, 13, 16, 17, 20, 22, 26, 28, 33, 36, 42, 46, 53, 58, 67, 73, 83, 91, 104, 113, 128, 140, 158, 173, 194, 212, 238, 260, 290, 317, 353, 385, 428, 467, 517, 564]

cp's OEIS Frontend

A264591 Let G[1](q) denote the g.f. for A003114 and G[2](q) the g.f. for A003106 (the two Rogers-Ramanujan identities). For i>=3, let G[i](q) = (G[i-1](q)-G[i-2](q))/q^(i-2). Sequence gives coefficients of G[4](q).

Table of values

List of values

n	a(n)
0	1
1	0
2	0
3	0
4	1
5	1
6	1
7	1
8	1
9	1
10	2
11	2
12	3
13	3
14	4
15	4
16	5
17	5
18	7
19	7
20	9
21	10
22	12
23	13
24	16
25	17
26	20
27	22
28	26
29	28
30	33
31	36
32	42
33	46
34	53
35	58
36	67
37	73
38	83
39	91
40	104
41	113
42	128
43	140
44	158
45	173
46	194
47	212
48	238
49	260
50	290
51	317
52	353
53	385
54	428
55	467
56	517
57	564

n	a(n)
0	1
1	0
2	0
3	0
4	1
5	1
6	1
7	1
8	1
9	1
10	2
11	2
12	3
13	3
14	4
15	4
16	5
17	5
18	7
19	7
20	9
21	10
22	12
23	13
24	16
25	17
26	20
27	22
28	26
29	28
30	33
31	36
32	42
33	46
34	53
35	58
36	67
37	73
38	83
39	91
40	104
41	113
42	128
43	140
44	158
45	173
46	194
47	212
48	238
49	260
50	290
51	317
52	353
53	385
54	428
55	467
56	517
57	564

n	a(n)
0	1
1	0
2	0
3	0
4	1
5	1
6	1
7	1
8	1
9	1
10	2
11	2
12	3
13	3
14	4
15	4
16	5
17	5
18	7
19	7
20	9
21	10
22	12
23	13
24	16
25	17
26	20
27	22
28	26
29	28
30	33
31	36
32	42
33	46
34	53
35	58
36	67
37	73
38	83
39	91
40	104
41	113
42	128
43	140
44	158
45	173
46	194
47	212
48	238
49	260
50	290
51	317
52	353
53	385
54	428
55	467
56	517
57	564