A369096 - cp's OEIS frontend

A369096 Numbers k >= 2 such that omega(k) divides the sum of the triangular numbers T(k) and T(k+1), where omega(k) is the number of distinct primes dividing k (A001221).

n	a(n)
1	2
2	3
3	4
4	5
5	7
6	8
7	9
8	11
9	13
10	15
11	16
12	17
13	19
14	21
15	23
16	25
17	27
18	29
19	31
20	32
21	33
22	35
23	37
24	39
25	41
26	43
27	45
28	47
29	49
30	51
31	53
32	55
33	57
34	59
35	61
36	63
37	64
38	65
39	67
40	69
41	71
42	73
43	75
44	77
45	79
46	81
47	83
48	85
49	87
50	89
51	91
52	93
53	95
54	97
55	99
56	101
57	103
58	107
59	109
60	110
61	111
62	113
63	115
64	117
65	119
66	121
67	123
68	125
69	127
70	128
71	129

[2, 3, 4, 5, 7, 8, 9, 11, 13, 15, 16, 17, 19, 21, 23, 25, 27, 29, 31, 32, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 64, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101, 103, 107, 109, 110, 111, 113, 115, 117, 119, 121, 123, 125, 127, 128, 129]

cp's OEIS Frontend

A369096 Numbers k >= 2 such that omega(k) divides the sum of the triangular numbers T(k) and T(k+1), where omega(k) is the number of distinct primes dividing k (A001221).

Table of values

List of values

n	a(n)
1	2
2	3
3	4
4	5
5	7
6	8
7	9
8	11
9	13
10	15
11	16
12	17
13	19
14	21
15	23
16	25
17	27
18	29
19	31
20	32
21	33
22	35
23	37
24	39
25	41
26	43
27	45
28	47
29	49
30	51
31	53
32	55
33	57
34	59
35	61
36	63
37	64
38	65
39	67
40	69
41	71
42	73
43	75
44	77
45	79
46	81
47	83
48	85
49	87
50	89
51	91
52	93
53	95
54	97
55	99
56	101
57	103
58	107
59	109
60	110
61	111
62	113
63	115
64	117
65	119
66	121
67	123
68	125
69	127
70	128
71	129

n	a(n)
1	2
2	3
3	4
4	5
5	7
6	8
7	9
8	11
9	13
10	15
11	16
12	17
13	19
14	21
15	23
16	25
17	27
18	29
19	31
20	32
21	33
22	35
23	37
24	39
25	41
26	43
27	45
28	47
29	49
30	51
31	53
32	55
33	57
34	59
35	61
36	63
37	64
38	65
39	67
40	69
41	71
42	73
43	75
44	77
45	79
46	81
47	83
48	85
49	87
50	89
51	91
52	93
53	95
54	97
55	99
56	101
57	103
58	107
59	109
60	110
61	111
62	113
63	115
64	117
65	119
66	121
67	123
68	125
69	127
70	128
71	129

n	a(n)
1	2
2	3
3	4
4	5
5	7
6	8
7	9
8	11
9	13
10	15
11	16
12	17
13	19
14	21
15	23
16	25
17	27
18	29
19	31
20	32
21	33
22	35
23	37
24	39
25	41
26	43
27	45
28	47
29	49
30	51
31	53
32	55
33	57
34	59
35	61
36	63
37	64
38	65
39	67
40	69
41	71
42	73
43	75
44	77
45	79
46	81
47	83
48	85
49	87
50	89
51	91
52	93
53	95
54	97
55	99
56	101
57	103
58	107
59	109
60	110
61	111
62	113
63	115
64	117
65	119
66	121
67	123
68	125
69	127
70	128
71	129