A376649 - cp's OEIS frontend

A376649 a(n) = Sum_{k=0..floor(n/3)} binomial(floor(k/3),n-3*k).

n	a(n)
0	1
1	0
2	0
3	1
4	0
5	0
6	1
7	0
8	0
9	1
10	1
11	0
12	1
13	1
14	0
15	1
16	1
17	0
18	1
19	2
20	1
21	1
22	2
23	1
24	1
25	2
26	1
27	1
28	3
29	3
30	2
31	3
32	3
33	2
34	3
35	3
36	2
37	4
38	6
39	5
40	5
41	6
42	5
43	5
44	6
45	5
46	6
47	10
48	11
49	10
50	11
51	11
52	10
53	11
54	11
55	11
56	16
57	21
58	21
59	21
60	22
61	21
62	21
63	22
64	22
65	27
66	37
67	42
68	42
69	43
70	43
71	42
72	43
73	44
74	49
75	64
76	79
77	84
78	85
79	86
80	85
81	85
82	87
83	93
84	113
85	143

[1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 3, 3, 2, 3, 3, 2, 3, 3, 2, 4, 6, 5, 5, 6, 5, 5, 6, 5, 6, 10, 11, 10, 11, 11, 10, 11, 11, 11, 16, 21, 21, 21, 22, 21, 21, 22, 22, 27, 37, 42, 42, 43, 43, 42, 43, 44, 49, 64, 79, 84, 85, 86, 85, 85, 87, 93, 113, 143]

cp's OEIS Frontend

A376649 a(n) = Sum_{k=0..floor(n/3)} binomial(floor(k/3),n-3*k).

Table of values

List of values

n	a(n)
0	1
1	0
2	0
3	1
4	0
5	0
6	1
7	0
8	0
9	1
10	1
11	0
12	1
13	1
14	0
15	1
16	1
17	0
18	1
19	2
20	1
21	1
22	2
23	1
24	1
25	2
26	1
27	1
28	3
29	3
30	2
31	3
32	3
33	2
34	3
35	3
36	2
37	4
38	6
39	5
40	5
41	6
42	5
43	5
44	6
45	5
46	6
47	10
48	11
49	10
50	11
51	11
52	10
53	11
54	11
55	11
56	16
57	21
58	21
59	21
60	22
61	21
62	21
63	22
64	22
65	27
66	37
67	42
68	42
69	43
70	43
71	42
72	43
73	44
74	49
75	64
76	79
77	84
78	85
79	86
80	85
81	85
82	87
83	93
84	113
85	143

n	a(n)
0	1
1	0
2	0
3	1
4	0
5	0
6	1
7	0
8	0
9	1
10	1
11	0
12	1
13	1
14	0
15	1
16	1
17	0
18	1
19	2
20	1
21	1
22	2
23	1
24	1
25	2
26	1
27	1
28	3
29	3
30	2
31	3
32	3
33	2
34	3
35	3
36	2
37	4
38	6
39	5
40	5
41	6
42	5
43	5
44	6
45	5
46	6
47	10
48	11
49	10
50	11
51	11
52	10
53	11
54	11
55	11
56	16
57	21
58	21
59	21
60	22
61	21
62	21
63	22
64	22
65	27
66	37
67	42
68	42
69	43
70	43
71	42
72	43
73	44
74	49
75	64
76	79
77	84
78	85
79	86
80	85
81	85
82	87
83	93
84	113
85	143

n	a(n)
0	1
1	0
2	0
3	1
4	0
5	0
6	1
7	0
8	0
9	1
10	1
11	0
12	1
13	1
14	0
15	1
16	1
17	0
18	1
19	2
20	1
21	1
22	2
23	1
24	1
25	2
26	1
27	1
28	3
29	3
30	2
31	3
32	3
33	2
34	3
35	3
36	2
37	4
38	6
39	5
40	5
41	6
42	5
43	5
44	6
45	5
46	6
47	10
48	11
49	10
50	11
51	11
52	10
53	11
54	11
55	11
56	16
57	21
58	21
59	21
60	22
61	21
62	21
63	22
64	22
65	27
66	37
67	42
68	42
69	43
70	43
71	42
72	43
73	44
74	49
75	64
76	79
77	84
78	85
79	86
80	85
81	85
82	87
83	93
84	113
85	143