A303543 - cp's OEIS frontend

A303543 Number of ways to write n as a^2 + b^2 + C(k) + C(m) with 0 <= a <= b and 0 < k <= m, where C(k) denotes the Catalan number binomial(2k,k)/(k+1).

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

[0, 1, 2, 3, 2, 3, 4, 4, 2, 3, 5, 5, 2, 3, 5, 5, 4, 3, 6, 8, 4, 3, 6, 6, 3, 3, 5, 7, 6, 3, 4, 8, 5, 2, 6, 7, 3, 4, 5, 5, 6, 4, 5, 10, 6, 4, 7, 8, 4, 2, 7, 9, 9, 5, 7, 11, 8, 2, 5, 11, 5, 4, 4, 8, 8, 4, 6, 11, 10, 3, 6, 8, 5, 5, 6, 7, 6, 6, 5, 9]

cp's OEIS Frontend

A303543 Number of ways to write n as a^2 + b^2 + C(k) + C(m) with 0 <= a <= b and 0 < k <= m, where C(k) denotes the Catalan number binomial(2k,k)/(k+1).

Table of values

List of values

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

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

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