A264595 - cp's OEIS frontend

A264595 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[8](q).

n	a(n)
0	1
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	1
9	1
10	1
11	1
12	1
13	1
14	1
15	1
16	1
17	1
18	2
19	2
20	3
21	3
22	4
23	4
24	5
25	5
26	6
27	6
28	7
29	7
30	9
31	9
32	11
33	12
34	14
35	15
36	18
37	19
38	22
39	24
40	27
41	29
42	33
43	35
44	40
45	43
46	48
47	52
48	59
49	63
50	71
51	77
52	86
53	93
54	104
55	112
56	125
57	135
58	149
59	161
60	179
61	192
62	212
63	229
64	252
65	272
66	299
67	322
68	354
69	382
70	418
71	451
72	494
73	532
74	581
75	627
76	683

[1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 9, 9, 11, 12, 14, 15, 18, 19, 22, 24, 27, 29, 33, 35, 40, 43, 48, 52, 59, 63, 71, 77, 86, 93, 104, 112, 125, 135, 149, 161, 179, 192, 212, 229, 252, 272, 299, 322, 354, 382, 418, 451, 494, 532, 581, 627, 683]

cp's OEIS Frontend

A264595 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[8](q).

Table of values

List of values

n	a(n)
0	1
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	1
9	1
10	1
11	1
12	1
13	1
14	1
15	1
16	1
17	1
18	2
19	2
20	3
21	3
22	4
23	4
24	5
25	5
26	6
27	6
28	7
29	7
30	9
31	9
32	11
33	12
34	14
35	15
36	18
37	19
38	22
39	24
40	27
41	29
42	33
43	35
44	40
45	43
46	48
47	52
48	59
49	63
50	71
51	77
52	86
53	93
54	104
55	112
56	125
57	135
58	149
59	161
60	179
61	192
62	212
63	229
64	252
65	272
66	299
67	322
68	354
69	382
70	418
71	451
72	494
73	532
74	581
75	627
76	683

n	a(n)
0	1
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	1
9	1
10	1
11	1
12	1
13	1
14	1
15	1
16	1
17	1
18	2
19	2
20	3
21	3
22	4
23	4
24	5
25	5
26	6
27	6
28	7
29	7
30	9
31	9
32	11
33	12
34	14
35	15
36	18
37	19
38	22
39	24
40	27
41	29
42	33
43	35
44	40
45	43
46	48
47	52
48	59
49	63
50	71
51	77
52	86
53	93
54	104
55	112
56	125
57	135
58	149
59	161
60	179
61	192
62	212
63	229
64	252
65	272
66	299
67	322
68	354
69	382
70	418
71	451
72	494
73	532
74	581
75	627
76	683

n	a(n)
0	1
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	1
9	1
10	1
11	1
12	1
13	1
14	1
15	1
16	1
17	1
18	2
19	2
20	3
21	3
22	4
23	4
24	5
25	5
26	6
27	6
28	7
29	7
30	9
31	9
32	11
33	12
34	14
35	15
36	18
37	19
38	22
39	24
40	27
41	29
42	33
43	35
44	40
45	43
46	48
47	52
48	59
49	63
50	71
51	77
52	86
53	93
54	104
55	112
56	125
57	135
58	149
59	161
60	179
61	192
62	212
63	229
64	252
65	272
66	299
67	322
68	354
69	382
70	418
71	451
72	494
73	532
74	581
75	627
76	683