A335444 - cp's OEIS frontend

A335444 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 states that F[n]^2 <= G[n] = (x^2 + 1)^2(x^2 + 2)^(n-3) for all n >= 3 and all real x. The sequence gives a triangle of the coefficients of the even exponents of G[n] - F[n]^2 read by rows.

n	a(n)
3	0
4	2
5	1
6	3
7	6
8	2
9	8
10	19
11	14
12	3
13	15
14	52
15	58
16	26
17	4
18	32
19	128
20	192
21	132
22	42
23	5
24	63
25	300
26	558
27	518
28	253
29	62
30	6
31	128
32	679
33	1496
34	1742
35	1152
36	433
37	86
38	7
39	255
40	1506
41	3801
42	5294
43	4413
44	2248
45	684
46	114
47	8
48	512
49	3292
50	9308
51	14999
52	15040
53	9680
54	3992
55	1018
56	146
57	9

[0, 2, 1, 3, 6, 2, 8, 19, 14, 3, 15, 52, 58, 26, 4, 32, 128, 192, 132, 42, 5, 63, 300, 558, 518, 253, 62, 6, 128, 679, 1496, 1742, 1152, 433, 86, 7, 255, 1506, 3801, 5294, 4413, 2248, 684, 114, 8, 512, 3292, 9308, 14999, 15040, 9680, 3992, 1018, 146, 9]

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