A242976 - cp's OEIS frontend

A242976 Number of ways to write n = i + j + k with 0 < i <= j <= k such that prime(i) mod i, prime(j) mod j and prime(k) mod k are all triangular numbers, where prime(m) mod m denotes the least nonnegative residue of prime(m) modulo m.

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

[0, 0, 1, 1, 1, 2, 2, 3, 4, 5, 5, 6, 6, 8, 8, 9, 8, 9, 7, 9, 9, 9, 8, 9, 8, 9, 9, 10, 9, 9, 8, 8, 9, 9, 9, 8, 9, 9, 11, 13, 12, 12, 13, 13, 13, 12, 14, 12, 11, 13, 10, 13, 11, 15, 12, 12, 13, 11, 12, 11, 9, 8, 7, 9, 11, 12, 15, 12, 16, 17, 15, 19, 15, 19, 12, 17, 15, 15, 17, 15]

cp's OEIS Frontend

A242976 Number of ways to write n = i + j + k with 0 < i <= j <= k such that prime(i) mod i, prime(j) mod j and prime(k) mod k are all triangular numbers, where prime(m) mod m denotes the least nonnegative residue of prime(m) modulo m.

Table of values

List of values

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

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

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