A003406 - cp's OEIS frontend

A003406 Expansion of Ramanujan's function R(x) = 1 + Sum_{n >= 1} { x^(n*(n+1)/2) / ((1+x)(1+x^2)(1+x^3)...(1+x^n)) }.

n	a(n)
0	1
1	1
2	-1
3	2
4	-2
5	1
6	0
7	1
8	-2
9	0
10	2
11	0
12	-1
13	-2
14	2
15	1
16	0
17	-2
18	2
19	-2
20	0
21	0
22	3
23	0
24	-2
25	-2
26	1
27	0
28	2
29	0
30	0
31	0
32	-2
33	0
34	0
35	1
36	0
37	0
38	0
39	2
40	-1
41	0
42	-2
43	-2
44	0
45	4
46	0
47	2
48	-2
49	0
50	-2
51	-1
52	2
53	0
54	-2
55	2
56	0
57	1
58	0
59	0
60	0
61	0
62	-2
63	0
64	0
65	0
66	0
67	-2
68	4
69	2
70	-1
71	0
72	0
73	-2
74	-2
75	-2
76	2
77	1
78	2
79	0
80	0
81	0
82	0
83	-2
84	2
85	0
86	0
87	-2
88	2
89	-2
90	-2
91	0
92	3
93	0
94	0
95	2
96	0
97	0
98	0
99	-2
100	1
101	-2
102	0
103	-2
104	0

[1, 1, -1, 2, -2, 1, 0, 1, -2, 0, 2, 0, -1, -2, 2, 1, 0, -2, 2, -2, 0, 0, 3, 0, -2, -2, 1, 0, 2, 0, 0, 0, -2, 0, 0, 1, 0, 0, 0, 2, -1, 0, -2, -2, 0, 4, 0, 2, -2, 0, -2, -1, 2, 0, -2, 2, 0, 1, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 4, 2, -1, 0, 0, -2, -2, -2, 2, 1, 2, 0, 0, 0, 0, -2, 2, 0, 0, -2, 2, -2, -2, 0, 3, 0, 0, 2, 0, 0, 0, -2, 1, -2, 0, -2, 0]

cp's OEIS Frontend

A003406 Expansion of Ramanujan's function R(x) = 1 + Sum_{n >= 1} { x^(n*(n+1)/2) / ((1+x)(1+x^2)(1+x^3)...(1+x^n)) }.

Table of values

List of values

n	a(n)
0	1
1	1
2	-1
3	2
4	-2
5	1
6	0
7	1
8	-2
9	0
10	2
11	0
12	-1
13	-2
14	2
15	1
16	0
17	-2
18	2
19	-2
20	0
21	0
22	3
23	0
24	-2
25	-2
26	1
27	0
28	2
29	0
30	0
31	0
32	-2
33	0
34	0
35	1
36	0
37	0
38	0
39	2
40	-1
41	0
42	-2
43	-2
44	0
45	4
46	0
47	2
48	-2
49	0
50	-2
51	-1
52	2
53	0
54	-2
55	2
56	0
57	1
58	0
59	0
60	0
61	0
62	-2
63	0
64	0
65	0
66	0
67	-2
68	4
69	2
70	-1
71	0
72	0
73	-2
74	-2
75	-2
76	2
77	1
78	2
79	0
80	0
81	0
82	0
83	-2
84	2
85	0
86	0
87	-2
88	2
89	-2
90	-2
91	0
92	3
93	0
94	0
95	2
96	0
97	0
98	0
99	-2
100	1
101	-2
102	0
103	-2
104	0

n	a(n)
0	1
1	1
2	-1
3	2
4	-2
5	1
6	0
7	1
8	-2
9	0
10	2
11	0
12	-1
13	-2
14	2
15	1
16	0
17	-2
18	2
19	-2
20	0
21	0
22	3
23	0
24	-2
25	-2
26	1
27	0
28	2
29	0
30	0
31	0
32	-2
33	0
34	0
35	1
36	0
37	0
38	0
39	2
40	-1
41	0
42	-2
43	-2
44	0
45	4
46	0
47	2
48	-2
49	0
50	-2
51	-1
52	2
53	0
54	-2
55	2
56	0
57	1
58	0
59	0
60	0
61	0
62	-2
63	0
64	0
65	0
66	0
67	-2
68	4
69	2
70	-1
71	0
72	0
73	-2
74	-2
75	-2
76	2
77	1
78	2
79	0
80	0
81	0
82	0
83	-2
84	2
85	0
86	0
87	-2
88	2
89	-2
90	-2
91	0
92	3
93	0
94	0
95	2
96	0
97	0
98	0
99	-2
100	1
101	-2
102	0
103	-2
104	0

n	a(n)
0	1
1	1
2	-1
3	2
4	-2
5	1
6	0
7	1
8	-2
9	0
10	2
11	0
12	-1
13	-2
14	2
15	1
16	0
17	-2
18	2
19	-2
20	0
21	0
22	3
23	0
24	-2
25	-2
26	1
27	0
28	2
29	0
30	0
31	0
32	-2
33	0
34	0
35	1
36	0
37	0
38	0
39	2
40	-1
41	0
42	-2
43	-2
44	0
45	4
46	0
47	2
48	-2
49	0
50	-2
51	-1
52	2
53	0
54	-2
55	2
56	0
57	1
58	0
59	0
60	0
61	0
62	-2
63	0
64	0
65	0
66	0
67	-2
68	4
69	2
70	-1
71	0
72	0
73	-2
74	-2
75	-2
76	2
77	1
78	2
79	0
80	0
81	0
82	0
83	-2
84	2
85	0
86	0
87	-2
88	2
89	-2
90	-2
91	0
92	3
93	0
94	0
95	2
96	0
97	0
98	0
99	-2
100	1
101	-2
102	0
103	-2
104	0