A264594 - cp's OEIS frontend

A264594 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[7](q).

n	a(n)
0	1
1	0
2	0
3	0
4	0
5	0
6	0
7	1
8	1
9	1
10	1
11	1
12	1
13	1
14	1
15	1
16	2
17	2
18	3
19	3
20	4
21	4
22	5
23	5
24	6
25	6
26	7
27	8
28	9
29	10
30	12
31	13
32	15
33	17
34	19
35	21
36	24
37	26
38	29
39	32
40	36
41	39
42	44
43	48
44	54
45	59
46	66
47	72
48	81
49	88
50	98
51	107
52	119
53	129
54	143
55	156
56	172
57	187
58	206
59	224
60	247
61	268
62	294
63	320
64	351
65	381
66	417
67	453
68	495
69	537
70	586
71	635
72	693
73	750
74	816

[1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 8, 9, 10, 12, 13, 15, 17, 19, 21, 24, 26, 29, 32, 36, 39, 44, 48, 54, 59, 66, 72, 81, 88, 98, 107, 119, 129, 143, 156, 172, 187, 206, 224, 247, 268, 294, 320, 351, 381, 417, 453, 495, 537, 586, 635, 693, 750, 816]

cp's OEIS Frontend

A264594 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[7](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	1
8	1
9	1
10	1
11	1
12	1
13	1
14	1
15	1
16	2
17	2
18	3
19	3
20	4
21	4
22	5
23	5
24	6
25	6
26	7
27	8
28	9
29	10
30	12
31	13
32	15
33	17
34	19
35	21
36	24
37	26
38	29
39	32
40	36
41	39
42	44
43	48
44	54
45	59
46	66
47	72
48	81
49	88
50	98
51	107
52	119
53	129
54	143
55	156
56	172
57	187
58	206
59	224
60	247
61	268
62	294
63	320
64	351
65	381
66	417
67	453
68	495
69	537
70	586
71	635
72	693
73	750
74	816

n	a(n)
0	1
1	0
2	0
3	0
4	0
5	0
6	0
7	1
8	1
9	1
10	1
11	1
12	1
13	1
14	1
15	1
16	2
17	2
18	3
19	3
20	4
21	4
22	5
23	5
24	6
25	6
26	7
27	8
28	9
29	10
30	12
31	13
32	15
33	17
34	19
35	21
36	24
37	26
38	29
39	32
40	36
41	39
42	44
43	48
44	54
45	59
46	66
47	72
48	81
49	88
50	98
51	107
52	119
53	129
54	143
55	156
56	172
57	187
58	206
59	224
60	247
61	268
62	294
63	320
64	351
65	381
66	417
67	453
68	495
69	537
70	586
71	635
72	693
73	750
74	816

n	a(n)
0	1
1	0
2	0
3	0
4	0
5	0
6	0
7	1
8	1
9	1
10	1
11	1
12	1
13	1
14	1
15	1
16	2
17	2
18	3
19	3
20	4
21	4
22	5
23	5
24	6
25	6
26	7
27	8
28	9
29	10
30	12
31	13
32	15
33	17
34	19
35	21
36	24
37	26
38	29
39	32
40	36
41	39
42	44
43	48
44	54
45	59
46	66
47	72
48	81
49	88
50	98
51	107
52	119
53	129
54	143
55	156
56	172
57	187
58	206
59	224
60	247
61	268
62	294
63	320
64	351
65	381
66	417
67	453
68	495
69	537
70	586
71	635
72	693
73	750
74	816