A306471 - cp's OEIS frontend

A306471 Number of ways to write n as C(2w+1,2) + C(x+2,3) + C(y+3,4) + C(z+4,5) with w,x,y,z nonnegative integers, where C(n,k) denotes the binomial coefficient n!/(k!*(n-k)!).

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

[1, 3, 3, 2, 4, 6, 5, 4, 4, 5, 7, 8, 6, 4, 5, 8, 8, 5, 4, 6, 7, 10, 10, 6, 6, 12, 13, 8, 7, 7, 6, 11, 9, 4, 3, 8, 16, 12, 8, 9, 9, 13, 14, 10, 7, 9, 18, 12, 6, 5, 4, 11, 10, 4, 2, 5, 19, 21, 11, 9, 13, 20, 16, 9, 6, 8, 17, 17, 4, 2, 9, 20, 17, 6, 9, 9, 15, 23, 14, 9, 15]

cp's OEIS Frontend

A306471 Number of ways to write n as C(2w+1,2) + C(x+2,3) + C(y+3,4) + C(z+4,5) with w,x,y,z nonnegative integers, where C(n,k) denotes the binomial coefficient n!/(k!*(n-k)!).

Table of values

List of values

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

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

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