A105774 - cp's OEIS frontend

A105774 A "fractal" transform of the Fibonacci numbers: a(1)=1; then if F(n) < k <= F(n+1), a(k) = F(n+1) - a(k - F(n)) where F(n) = A000045(n).

n	a(n)
1	1
2	1
3	2
4	4
5	4
6	7
7	7
8	6
9	12
10	12
11	11
12	9
13	9
14	20
15	20
16	19
17	17
18	17
19	14
20	14
21	15
22	33
23	33
24	32
25	30
26	30
27	27
28	27
29	28
30	22
31	22
32	23
33	25
34	25
35	54
36	54
37	53
38	51
39	51
40	48
41	48
42	49
43	43
44	43
45	44
46	46
47	46
48	35
49	35
50	36
51	38
52	38
53	41
54	41
55	40
56	88
57	88
58	87
59	85
60	85
61	82
62	82
63	83
64	77
65	77
66	78
67	80
68	80
69	69
70	69
71	70
72	72
73	72

[1, 1, 2, 4, 4, 7, 7, 6, 12, 12, 11, 9, 9, 20, 20, 19, 17, 17, 14, 14, 15, 33, 33, 32, 30, 30, 27, 27, 28, 22, 22, 23, 25, 25, 54, 54, 53, 51, 51, 48, 48, 49, 43, 43, 44, 46, 46, 35, 35, 36, 38, 38, 41, 41, 40, 88, 88, 87, 85, 85, 82, 82, 83, 77, 77, 78, 80, 80, 69, 69, 70, 72, 72]

cp's OEIS Frontend

A105774 A "fractal" transform of the Fibonacci numbers: a(1)=1; then if F(n) < k <= F(n+1), a(k) = F(n+1) - a(k - F(n)) where F(n) = A000045(n).

Table of values

List of values

n	a(n)
1	1
2	1
3	2
4	4
5	4
6	7
7	7
8	6
9	12
10	12
11	11
12	9
13	9
14	20
15	20
16	19
17	17
18	17
19	14
20	14
21	15
22	33
23	33
24	32
25	30
26	30
27	27
28	27
29	28
30	22
31	22
32	23
33	25
34	25
35	54
36	54
37	53
38	51
39	51
40	48
41	48
42	49
43	43
44	43
45	44
46	46
47	46
48	35
49	35
50	36
51	38
52	38
53	41
54	41
55	40
56	88
57	88
58	87
59	85
60	85
61	82
62	82
63	83
64	77
65	77
66	78
67	80
68	80
69	69
70	69
71	70
72	72
73	72

n	a(n)
1	1
2	1
3	2
4	4
5	4
6	7
7	7
8	6
9	12
10	12
11	11
12	9
13	9
14	20
15	20
16	19
17	17
18	17
19	14
20	14
21	15
22	33
23	33
24	32
25	30
26	30
27	27
28	27
29	28
30	22
31	22
32	23
33	25
34	25
35	54
36	54
37	53
38	51
39	51
40	48
41	48
42	49
43	43
44	43
45	44
46	46
47	46
48	35
49	35
50	36
51	38
52	38
53	41
54	41
55	40
56	88
57	88
58	87
59	85
60	85
61	82
62	82
63	83
64	77
65	77
66	78
67	80
68	80
69	69
70	69
71	70
72	72
73	72

n	a(n)
1	1
2	1
3	2
4	4
5	4
6	7
7	7
8	6
9	12
10	12
11	11
12	9
13	9
14	20
15	20
16	19
17	17
18	17
19	14
20	14
21	15
22	33
23	33
24	32
25	30
26	30
27	27
28	27
29	28
30	22
31	22
32	23
33	25
34	25
35	54
36	54
37	53
38	51
39	51
40	48
41	48
42	49
43	43
44	43
45	44
46	46
47	46
48	35
49	35
50	36
51	38
52	38
53	41
54	41
55	40
56	88
57	88
58	87
59	85
60	85
61	82
62	82
63	83
64	77
65	77
66	78
67	80
68	80
69	69
70	69
71	70
72	72
73	72