A305232 - cp's OEIS frontend

A305232 Number of ordered ways to write 2n+1 as p + binomial(2k,k) + 2binomial(2m,m), where p is an odd prime, and k and m are nonnegative integers.

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

[0, 0, 1, 2, 3, 3, 3, 4, 3, 5, 4, 5, 6, 5, 4, 4, 6, 6, 4, 5, 4, 6, 6, 6, 7, 6, 6, 4, 5, 6, 6, 8, 5, 5, 6, 5, 7, 9, 8, 5, 8, 9, 6, 9, 7, 8, 6, 6, 4, 7, 8, 7, 7, 4, 8, 10, 9, 7, 8, 9, 5, 7, 6, 5, 7, 7, 7, 3, 6, 7, 7, 9, 6, 9, 6, 9, 9, 7, 7, 8, 9, 6, 5, 8, 10, 10, 6, 8, 7, 9]

cp's OEIS Frontend

A305232 Number of ordered ways to write 2n+1 as p + binomial(2k,k) + 2binomial(2m,m), where p is an odd prime, and k and m are nonnegative integers.

Table of values

List of values

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

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

cp's OEIS Frontend

A305232 Number of ordered ways to write 2*n+1 as p + binomial(2k,k) + 2*binomial(2m,m), where p is an odd prime, and k and m are nonnegative integers.

Table of values

List of values

A305232 Number of ordered ways to write 2n+1 as p + binomial(2k,k) + 2binomial(2m,m), where p is an odd prime, and k and m are nonnegative integers.

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