A128932 - cp's OEIS frontend

A128932 Define the Fibonacci polynomials by F[1] = 1, F[2] = x; for n > 2, F[n] = xF[n-1] + F[n-2] (cf. A049310, A053119). Swamy's inequality implies that F[n] <= F[n]^2 <= G[n] = (x^2 + 1)^2(x^2 + 2)^(n-3) for n >= 3 and x >= 1. The sequence gives a triangle of coefficients of G[n] - F[n] read by rows.

n	a(n)
3	0
4	0
5	1
6	0
7	1
8	2
9	-2
10	5
11	-1
12	4
13	0
14	1
15	3
16	0
17	9
18	0
19	12
20	0
21	6
22	0
23	1
24	8
25	-3
26	28
27	-4
28	38
29	-1
30	25
31	0
32	8
33	0
34	1
35	15
36	0
37	58
38	0
39	99
40	0
41	87
42	0
43	41
44	0
45	10
46	0
47	1
48	32
49	-4
50	144
51	-10
52	272
53	-6
54	280
55	-1
56	170
57	0
58	61
59	0
60	12
61	0
62	1
63	63
64	0
65	310
66	0
67	673
68	0
69	825
70	0
71	619
72	0
73	292
74	0
75	85
76	0
77	14
78	0
79	1

[0, 0, 1, 0, 1, 2, -2, 5, -1, 4, 0, 1, 3, 0, 9, 0, 12, 0, 6, 0, 1, 8, -3, 28, -4, 38, -1, 25, 0, 8, 0, 1, 15, 0, 58, 0, 99, 0, 87, 0, 41, 0, 10, 0, 1, 32, -4, 144, -10, 272, -6, 280, -1, 170, 0, 61, 0, 12, 0, 1, 63, 0, 310, 0, 673, 0, 825, 0, 619, 0, 292, 0, 85, 0, 14, 0, 1]

cp's OEIS Frontend

Table of values

List of values

n	a(n)
3	0
4	0
5	1
6	0
7	1
8	2
9	-2
10	5
11	-1
12	4
13	0
14	1
15	3
16	0
17	9
18	0
19	12
20	0
21	6
22	0
23	1
24	8
25	-3
26	28
27	-4
28	38
29	-1
30	25
31	0
32	8
33	0
34	1
35	15
36	0
37	58
38	0
39	99
40	0
41	87
42	0
43	41
44	0
45	10
46	0
47	1
48	32
49	-4
50	144
51	-10
52	272
53	-6
54	280
55	-1
56	170
57	0
58	61
59	0
60	12
61	0
62	1
63	63
64	0
65	310
66	0
67	673
68	0
69	825
70	0
71	619
72	0
73	292
74	0
75	85
76	0
77	14
78	0
79	1

n	a(n)
3	0
4	0
5	1
6	0
7	1
8	2
9	-2
10	5
11	-1
12	4
13	0
14	1
15	3
16	0
17	9
18	0
19	12
20	0
21	6
22	0
23	1
24	8
25	-3
26	28
27	-4
28	38
29	-1
30	25
31	0
32	8
33	0
34	1
35	15
36	0
37	58
38	0
39	99
40	0
41	87
42	0
43	41
44	0
45	10
46	0
47	1
48	32
49	-4
50	144
51	-10
52	272
53	-6
54	280
55	-1
56	170
57	0
58	61
59	0
60	12
61	0
62	1
63	63
64	0
65	310
66	0
67	673
68	0
69	825
70	0
71	619
72	0
73	292
74	0
75	85
76	0
77	14
78	0
79	1

n	a(n)
3	0
4	0
5	1
6	0
7	1
8	2
9	-2
10	5
11	-1
12	4
13	0
14	1
15	3
16	0
17	9
18	0
19	12
20	0
21	6
22	0
23	1
24	8
25	-3
26	28
27	-4
28	38
29	-1
30	25
31	0
32	8
33	0
34	1
35	15
36	0
37	58
38	0
39	99
40	0
41	87
42	0
43	41
44	0
45	10
46	0
47	1
48	32
49	-4
50	144
51	-10
52	272
53	-6
54	280
55	-1
56	170
57	0
58	61
59	0
60	12
61	0
62	1
63	63
64	0
65	310
66	0
67	673
68	0
69	825
70	0
71	619
72	0
73	292
74	0
75	85
76	0
77	14
78	0
79	1