A306459 - cp's OEIS frontend

A306459 Number of ways to write n as w^3 + C(x+2,3) + C(y+2,3) + C(z+2,3), where w,x,y,z are nonnegative integers with x <= y <= z, and C(m,k) denotes the binomial coefficient m!/(k!*(m-k)!).

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

[1, 2, 2, 2, 2, 2, 2, 1, 2, 3, 3, 3, 4, 3, 2, 2, 2, 1, 2, 2, 4, 4, 4, 2, 2, 3, 2, 1, 4, 4, 4, 4, 4, 2, 1, 3, 4, 3, 4, 4, 4, 5, 3, 2, 3, 4, 2, 4, 5, 3, 2, 4, 2, 1, 1, 3, 4, 6, 4, 2, 3, 4, 2, 3, 5, 4, 5, 7, 5, 2, 4, 4, 4, 3, 3, 4, 6, 4, 4, 2, 2, 2, 4, 3, 6, 6, 5, 4, 6, 3, 2, 3, 6, 4, 6, 4, 4, 4, 4, 3, 3]

cp's OEIS Frontend

A306459 Number of ways to write n as w^3 + C(x+2,3) + C(y+2,3) + C(z+2,3), where w,x,y,z are nonnegative integers with x <= y <= z, and C(m,k) denotes the binomial coefficient m!/(k!*(m-k)!).

Table of values

List of values

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

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

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