A241951 - cp's OEIS frontend

A241951 Number of possible representations of n as a sum of distinct positive integers from the Fibonacci and Lucas sequences 0,1,1,2,3,5,8,13,... and 2,1,3,4,7,11,... (A000045 and A000032).

n	a(n)
0	1
1	1
2	1
3	2
4	2
5	3
6	3
7	4
8	5
9	5
10	6
11	7
12	8
13	9
14	10
15	11
16	12
17	12
18	15
19	15
20	16
21	19
22	19
23	21
24	22
25	24
26	26
27	26
28	28
29	31
30	31
31	33
32	35
33	37
34	40
35	40
36	44
37	45
38	46
39	51
40	51
41	54
42	57
43	58
44	61
45	62
46	65
47	70
48	69
49	72
50	76
51	76
52	81
53	81
54	86
55	90
56	89
57	95
58	97
59	100
60	105
61	105
62	110
63	114
64	114
65	121
66	121
67	126
68	133
69	131
70	138
71	139
72	142
73	149
74	147
75	154
76	160
77	159
78	165
79	167

[1, 1, 1, 2, 2, 3, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 12, 15, 15, 16, 19, 19, 21, 22, 24, 26, 26, 28, 31, 31, 33, 35, 37, 40, 40, 44, 45, 46, 51, 51, 54, 57, 58, 61, 62, 65, 70, 69, 72, 76, 76, 81, 81, 86, 90, 89, 95, 97, 100, 105, 105, 110, 114, 114, 121, 121, 126, 133, 131, 138, 139, 142, 149, 147, 154, 160, 159, 165, 167]

cp's OEIS Frontend

A241951 Number of possible representations of n as a sum of distinct positive integers from the Fibonacci and Lucas sequences 0,1,1,2,3,5,8,13,... and 2,1,3,4,7,11,... (A000045 and A000032).

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	2
4	2
5	3
6	3
7	4
8	5
9	5
10	6
11	7
12	8
13	9
14	10
15	11
16	12
17	12
18	15
19	15
20	16
21	19
22	19
23	21
24	22
25	24
26	26
27	26
28	28
29	31
30	31
31	33
32	35
33	37
34	40
35	40
36	44
37	45
38	46
39	51
40	51
41	54
42	57
43	58
44	61
45	62
46	65
47	70
48	69
49	72
50	76
51	76
52	81
53	81
54	86
55	90
56	89
57	95
58	97
59	100
60	105
61	105
62	110
63	114
64	114
65	121
66	121
67	126
68	133
69	131
70	138
71	139
72	142
73	149
74	147
75	154
76	160
77	159
78	165
79	167

n	a(n)
0	1
1	1
2	1
3	2
4	2
5	3
6	3
7	4
8	5
9	5
10	6
11	7
12	8
13	9
14	10
15	11
16	12
17	12
18	15
19	15
20	16
21	19
22	19
23	21
24	22
25	24
26	26
27	26
28	28
29	31
30	31
31	33
32	35
33	37
34	40
35	40
36	44
37	45
38	46
39	51
40	51
41	54
42	57
43	58
44	61
45	62
46	65
47	70
48	69
49	72
50	76
51	76
52	81
53	81
54	86
55	90
56	89
57	95
58	97
59	100
60	105
61	105
62	110
63	114
64	114
65	121
66	121
67	126
68	133
69	131
70	138
71	139
72	142
73	149
74	147
75	154
76	160
77	159
78	165
79	167

n	a(n)
0	1
1	1
2	1
3	2
4	2
5	3
6	3
7	4
8	5
9	5
10	6
11	7
12	8
13	9
14	10
15	11
16	12
17	12
18	15
19	15
20	16
21	19
22	19
23	21
24	22
25	24
26	26
27	26
28	28
29	31
30	31
31	33
32	35
33	37
34	40
35	40
36	44
37	45
38	46
39	51
40	51
41	54
42	57
43	58
44	61
45	62
46	65
47	70
48	69
49	72
50	76
51	76
52	81
53	81
54	86
55	90
56	89
57	95
58	97
59	100
60	105
61	105
62	110
63	114
64	114
65	121
66	121
67	126
68	133
69	131
70	138
71	139
72	142
73	149
74	147
75	154
76	160
77	159
78	165
79	167