A290737 - cp's OEIS frontend

A290737 Weighted count of partitions of 2n+1 into odd parts in which the largest part appears an odd number of times and all other parts appear twice, with respect to a certain weight.

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

[1, 2, 1, 1, 2, -1, 1, 3, -2, 1, 2, 0, 2, 1, 0, -1, 5, 2, -1, 2, -3, 5, 3, -1, 2, 0, 1, 1, 2, -2, 2, 5, 2, -4, 0, 1, -1, 6, 0, 4, -3, -1, 3, -1, 2, 0, 4, -2, 2, 4, -2, 1, 5, -2, -2, -2, 4, 6, 1, 3, -2, 4, -3, -1, -2, 4, 6, 2, 0, -4, 5, 1, 3, -1, 0, 0, 4, -1, -2, 4, -2, 2, 5, 2, 5, -5, -2, 6, -4, 0, -3]

cp's OEIS Frontend

A290737 Weighted count of partitions of 2n+1 into odd parts in which the largest part appears an odd number of times and all other parts appear twice, with respect to a certain weight.

Table of values

List of values

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

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

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