A333907 - cp's OEIS frontend

A333907 For n >= 1, a(n) = Sum_{k=1..n} prevfib(k) + nextfib(k) - 2*k, where prevfib(k) is the largest Fibonacci number < k, nextfib(k) is the smallest Fibonacci number > k.

n	a(n)
1	0
2	0
3	1
4	1
5	2
6	3
7	2
8	4
9	7
10	8
11	7
12	4
13	7
14	13
15	17
16	19
17	19
18	17
19	13
20	7
21	12
22	23
23	32
24	39
25	44
26	47
27	48
28	47
29	44
30	39
31	32
32	23
33	12
34	20
35	39
36	56
37	71
38	84
39	95
40	104
41	111
42	116
43	119
44	120
45	119
46	116
47	111
48	104
49	95
50	84
51	71
52	56
53	39
54	20
55	33
56	65
57	95
58	123
59	149
60	173
61	195
62	215
63	233
64	249
65	263
66	275

[0, 0, 1, 1, 2, 3, 2, 4, 7, 8, 7, 4, 7, 13, 17, 19, 19, 17, 13, 7, 12, 23, 32, 39, 44, 47, 48, 47, 44, 39, 32, 23, 12, 20, 39, 56, 71, 84, 95, 104, 111, 116, 119, 120, 119, 116, 111, 104, 95, 84, 71, 56, 39, 20, 33, 65, 95, 123, 149, 173, 195, 215, 233, 249, 263, 275]

cp's OEIS Frontend

A333907 For n >= 1, a(n) = Sum_{k=1..n} prevfib(k) + nextfib(k) - 2*k, where prevfib(k) is the largest Fibonacci number < k, nextfib(k) is the smallest Fibonacci number > k.

Table of values

List of values

n	a(n)
1	0
2	0
3	1
4	1
5	2
6	3
7	2
8	4
9	7
10	8
11	7
12	4
13	7
14	13
15	17
16	19
17	19
18	17
19	13
20	7
21	12
22	23
23	32
24	39
25	44
26	47
27	48
28	47
29	44
30	39
31	32
32	23
33	12
34	20
35	39
36	56
37	71
38	84
39	95
40	104
41	111
42	116
43	119
44	120
45	119
46	116
47	111
48	104
49	95
50	84
51	71
52	56
53	39
54	20
55	33
56	65
57	95
58	123
59	149
60	173
61	195
62	215
63	233
64	249
65	263
66	275

n	a(n)
1	0
2	0
3	1
4	1
5	2
6	3
7	2
8	4
9	7
10	8
11	7
12	4
13	7
14	13
15	17
16	19
17	19
18	17
19	13
20	7
21	12
22	23
23	32
24	39
25	44
26	47
27	48
28	47
29	44
30	39
31	32
32	23
33	12
34	20
35	39
36	56
37	71
38	84
39	95
40	104
41	111
42	116
43	119
44	120
45	119
46	116
47	111
48	104
49	95
50	84
51	71
52	56
53	39
54	20
55	33
56	65
57	95
58	123
59	149
60	173
61	195
62	215
63	233
64	249
65	263
66	275

n	a(n)
1	0
2	0
3	1
4	1
5	2
6	3
7	2
8	4
9	7
10	8
11	7
12	4
13	7
14	13
15	17
16	19
17	19
18	17
19	13
20	7
21	12
22	23
23	32
24	39
25	44
26	47
27	48
28	47
29	44
30	39
31	32
32	23
33	12
34	20
35	39
36	56
37	71
38	84
39	95
40	104
41	111
42	116
43	119
44	120
45	119
46	116
47	111
48	104
49	95
50	84
51	71
52	56
53	39
54	20
55	33
56	65
57	95
58	123
59	149
60	173
61	195
62	215
63	233
64	249
65	263
66	275