A339010 - cp's OEIS frontend

A339010 a(n) is the number of ways to write n as the difference of two centered k-gonal numbers for k >= 3.

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

[0, 0, 1, 1, 1, 2, 1, 2, 3, 2, 1, 5, 1, 2, 5, 3, 1, 6, 1, 5, 5, 2, 1, 8, 3, 2, 6, 5, 1, 10, 1, 4, 5, 2, 5, 12, 1, 2, 5, 8, 1, 10, 1, 5, 12, 2, 1, 11, 3, 6, 5, 5, 1, 12, 5, 8, 5, 2, 1, 19, 1, 2, 12, 5, 5, 10, 1, 5, 5, 10, 1, 18, 1, 2, 12, 5, 5, 10, 1, 11, 10, 2]

cp's OEIS Frontend

A339010 a(n) is the number of ways to write n as the difference of two centered k-gonal numbers for k >= 3.

Table of values

List of values

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

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

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