A203827 - cp's OEIS frontend

A203827 Table of coefficients of up-down polynomials P_n(m) = Sum_{i=0..floor(log_2(2n))} binomial(m,i).

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

[1, -1, 1, -1, 0, 1, 1, -1, 1, -1, 0, 0, 1, 1, -1, 0, 2, 1, 0, -1, 2, -1, 1, -1, 1, -1, 0, 0, 0, 1, 1, -1, 0, 0, 3, 1, 0, -1, 0, 5, -1, 1, -1, 0, 3, 1, 0, 0, -1, 3, -1, 1, 0, -2, 5, -1, 0, 1, -2, 3, 1, -1, 1, -1, 1, -1, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, 4, 1, 0, -1, 0, 0, 9]

cp's OEIS Frontend

A203827 Table of coefficients of up-down polynomials P_n(m) = Sum_{i=0..floor(log_2(2n))} binomial(m,i).

Table of values

List of values

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

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

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