A376696 - cp's OEIS frontend

A376696 a(n) = Sum_{k=0..floor(n/3)} binomial(n-3*k,floor(k/3)).

n	a(n)
0	1
1	1
2	1
3	2
4	2
5	2
6	3
7	3
8	3
9	3
10	4
11	5
12	6
13	8
14	10
15	12
16	15
17	18
18	21
19	24
20	28
21	33
22	39
23	47
24	57
25	69
26	84
27	102
28	123
29	147
30	175
31	208
32	247
33	294
34	351
35	420
36	504
37	606
38	729
39	876
40	1051
41	1259
42	1506
43	1800
44	2151
45	2571
46	3075
47	3681
48	4410
49	5286
50	6337
51	7596
52	9102
53	10902
54	13053
55	15624
56	18699
57	22380
58	26790

[1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 5, 6, 8, 10, 12, 15, 18, 21, 24, 28, 33, 39, 47, 57, 69, 84, 102, 123, 147, 175, 208, 247, 294, 351, 420, 504, 606, 729, 876, 1051, 1259, 1506, 1800, 2151, 2571, 3075, 3681, 4410, 5286, 6337, 7596, 9102, 10902, 13053, 15624, 18699, 22380, 26790]

cp's OEIS Frontend

A376696 a(n) = Sum_{k=0..floor(n/3)} binomial(n-3*k,floor(k/3)).

Table of values

List of values