A306571 - cp's OEIS frontend

A306571 Number of ways to write n as w(w+1) + C(x+3,4) + C(y+5,6) + C(z+7,8) with w,x,y,z nonnegative integers, where C(m,k) denotes the binomial coefficient m!/(k!(m-k)!).

n	a(n)
0	1
1	3
2	4
3	4
4	3
5	2
6	3
7	6
8	7
9	5
10	4
11	4
12	6
13	7
14	7
15	6
16	6
17	6
18	6
19	5
20	4
21	8
22	9
23	6
24	3
25	4
26	4
27	6
28	7
29	7
30	6
31	8
32	5
33	5
34	4
35	8
36	10
37	9
38	5
39	5
40	5
41	5
42	8
43	10
44	10
45	9
46	8
47	7
48	9
49	9
50	7
51	8
52	8
53	7
54	7
55	6
56	7
57	12
58	12
59	8
60	2
61	3
62	6
63	11
64	9
65	8
66	9
67	7
68	2
69	4
70	5
71	8
72	13
73	14
74	8
75	6
76	6
77	8
78	9
79	9
80	11
81	8
82	7
83	7
84	10
85	9
86	10
87	11
88	8
89	7
90	9
91	11
92	13
93	11
94	8
95	5
96	6
97	7
98	10
99	10
100	13

[1, 3, 4, 4, 3, 2, 3, 6, 7, 5, 4, 4, 6, 7, 7, 6, 6, 6, 6, 5, 4, 8, 9, 6, 3, 4, 4, 6, 7, 7, 6, 8, 5, 5, 4, 8, 10, 9, 5, 5, 5, 5, 8, 10, 10, 9, 8, 7, 9, 9, 7, 8, 8, 7, 7, 6, 7, 12, 12, 8, 2, 3, 6, 11, 9, 8, 9, 7, 2, 4, 5, 8, 13, 14, 8, 6, 6, 8, 9, 9, 11, 8, 7, 7, 10, 9, 10, 11, 8, 7, 9, 11, 13, 11, 8, 5, 6, 7, 10, 10, 13]

cp's OEIS Frontend

A306571 Number of ways to write n as w(w+1) + C(x+3,4) + C(y+5,6) + C(z+7,8) with w,x,y,z nonnegative integers, where C(m,k) denotes the binomial coefficient m!/(k!(m-k)!).

Table of values

List of values

n	a(n)
0	1
1	3
2	4
3	4
4	3
5	2
6	3
7	6
8	7
9	5
10	4
11	4
12	6
13	7
14	7
15	6
16	6
17	6
18	6
19	5
20	4
21	8
22	9
23	6
24	3
25	4
26	4
27	6
28	7
29	7
30	6
31	8
32	5
33	5
34	4
35	8
36	10
37	9
38	5
39	5
40	5
41	5
42	8
43	10
44	10
45	9
46	8
47	7
48	9
49	9
50	7
51	8
52	8
53	7
54	7
55	6
56	7
57	12
58	12
59	8
60	2
61	3
62	6
63	11
64	9
65	8
66	9
67	7
68	2
69	4
70	5
71	8
72	13
73	14
74	8
75	6
76	6
77	8
78	9
79	9
80	11
81	8
82	7
83	7
84	10
85	9
86	10
87	11
88	8
89	7
90	9
91	11
92	13
93	11
94	8
95	5
96	6
97	7
98	10
99	10
100	13

n	a(n)
0	1
1	3
2	4
3	4
4	3
5	2
6	3
7	6
8	7
9	5
10	4
11	4
12	6
13	7
14	7
15	6
16	6
17	6
18	6
19	5
20	4
21	8
22	9
23	6
24	3
25	4
26	4
27	6
28	7
29	7
30	6
31	8
32	5
33	5
34	4
35	8
36	10
37	9
38	5
39	5
40	5
41	5
42	8
43	10
44	10
45	9
46	8
47	7
48	9
49	9
50	7
51	8
52	8
53	7
54	7
55	6
56	7
57	12
58	12
59	8
60	2
61	3
62	6
63	11
64	9
65	8
66	9
67	7
68	2
69	4
70	5
71	8
72	13
73	14
74	8
75	6
76	6
77	8
78	9
79	9
80	11
81	8
82	7
83	7
84	10
85	9
86	10
87	11
88	8
89	7
90	9
91	11
92	13
93	11
94	8
95	5
96	6
97	7
98	10
99	10
100	13

cp's OEIS Frontend

A306571 Number of ways to write n as w*(w+1) + C(x+3,4) + C(y+5,6) + C(z+7,8) with w,x,y,z nonnegative integers, where C(m,k) denotes the binomial coefficient m!/(k!*(m-k)!).

Table of values

List of values

A306571 Number of ways to write n as w(w+1) + C(x+3,4) + C(y+5,6) + C(z+7,8) with w,x,y,z nonnegative integers, where C(m,k) denotes the binomial coefficient m!/(k!(m-k)!).

n	a(n)
0	1
1	3
2	4
3	4
4	3
5	2
6	3
7	6
8	7
9	5
10	4
11	4
12	6
13	7
14	7
15	6
16	6
17	6
18	6
19	5
20	4
21	8
22	9
23	6
24	3
25	4
26	4
27	6
28	7
29	7
30	6
31	8
32	5
33	5
34	4
35	8
36	10
37	9
38	5
39	5
40	5
41	5
42	8
43	10
44	10
45	9
46	8
47	7
48	9
49	9
50	7
51	8
52	8
53	7
54	7
55	6
56	7
57	12
58	12
59	8
60	2
61	3
62	6
63	11
64	9
65	8
66	9
67	7
68	2
69	4
70	5
71	8
72	13
73	14
74	8
75	6
76	6
77	8
78	9
79	9
80	11
81	8
82	7
83	7
84	10
85	9
86	10
87	11
88	8
89	7
90	9
91	11
92	13
93	11
94	8
95	5
96	6
97	7
98	10
99	10
100	13