A174576 - cp's OEIS frontend

A174576 a(n) = Floor[(alpha^n-beta^n)(alpha-beta)], with alpha = (1 + Sqrt(a0))/2; beta = (1 - Sqrt(a0))/2; a0=(1 + Sqrt(5))/2.

n	a(n)
0	0
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	2
10	2
11	3
12	3
13	4
14	4
15	5
16	6
17	6
18	7
19	8
20	10
21	11
22	12
23	14
24	16
25	19
26	21
27	24
28	27
29	31
30	36
31	40
32	46
33	52
34	60
35	68
36	77
37	88
38	100
39	113
40	129
41	146
42	166
43	189
44	214
45	244
46	277
47	315
48	357
49	406
50	461

[0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 6, 6, 7, 8, 10, 11, 12, 14, 16, 19, 21, 24, 27, 31, 36, 40, 46, 52, 60, 68, 77, 88, 100, 113, 129, 146, 166, 189, 214, 244, 277, 315, 357, 406, 461]

cp's OEIS Frontend

A174576 a(n) = Floor[(alpha^n-beta^n)(alpha-beta)], with alpha = (1 + Sqrt(a0))/2; beta = (1 - Sqrt(a0))/2; a0=(1 + Sqrt(5))/2.

Table of values

List of values

n	a(n)
0	0
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	2
10	2
11	3
12	3
13	4
14	4
15	5
16	6
17	6
18	7
19	8
20	10
21	11
22	12
23	14
24	16
25	19
26	21
27	24
28	27
29	31
30	36
31	40
32	46
33	52
34	60
35	68
36	77
37	88
38	100
39	113
40	129
41	146
42	166
43	189
44	214
45	244
46	277
47	315
48	357
49	406
50	461

n	a(n)
0	0
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	2
10	2
11	3
12	3
13	4
14	4
15	5
16	6
17	6
18	7
19	8
20	10
21	11
22	12
23	14
24	16
25	19
26	21
27	24
28	27
29	31
30	36
31	40
32	46
33	52
34	60
35	68
36	77
37	88
38	100
39	113
40	129
41	146
42	166
43	189
44	214
45	244
46	277
47	315
48	357
49	406
50	461

n	a(n)
0	0
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	2
10	2
11	3
12	3
13	4
14	4
15	5
16	6
17	6
18	7
19	8
20	10
21	11
22	12
23	14
24	16
25	19
26	21
27	24
28	27
29	31
30	36
31	40
32	46
33	52
34	60
35	68
36	77
37	88
38	100
39	113
40	129
41	146
42	166
43	189
44	214
45	244
46	277
47	315
48	357
49	406
50	461