A371473 - cp's OEIS frontend

A371473 a(1) = 1; for n>1, if a(n-1) is squarefree, a(n) = a(n-1) + n, otherwise a(n) = squarefree kernel of a(n-1).

n	a(n)
1	1
2	3
3	6
4	10
5	15
6	21
7	28
8	14
9	23
10	33
11	44
12	22
13	35
14	49
15	7
16	23
17	40
18	10
19	29
20	49
21	7
22	29
23	52
24	26
25	51
26	77
27	104
28	26
29	55
30	85
31	116
32	58
33	91
34	125
35	5
36	41
37	78
38	116
39	58
40	98
41	14
42	56
43	14
44	58
45	103
46	149
47	196
48	14
49	63
50	21
51	72
52	6
53	59
54	113
55	168
56	42
57	99
58	33
59	92
60	46

[1, 3, 6, 10, 15, 21, 28, 14, 23, 33, 44, 22, 35, 49, 7, 23, 40, 10, 29, 49, 7, 29, 52, 26, 51, 77, 104, 26, 55, 85, 116, 58, 91, 125, 5, 41, 78, 116, 58, 98, 14, 56, 14, 58, 103, 149, 196, 14, 63, 21, 72, 6, 59, 113, 168, 42, 99, 33, 92, 46]

cp's OEIS Frontend

A371473 a(1) = 1; for n>1, if a(n-1) is squarefree, a(n) = a(n-1) + n, otherwise a(n) = squarefree kernel of a(n-1).

Table of values

List of values

n	a(n)
1	1
2	3
3	6
4	10
5	15
6	21
7	28
8	14
9	23
10	33
11	44
12	22
13	35
14	49
15	7
16	23
17	40
18	10
19	29
20	49
21	7
22	29
23	52
24	26
25	51
26	77
27	104
28	26
29	55
30	85
31	116
32	58
33	91
34	125
35	5
36	41
37	78
38	116
39	58
40	98
41	14
42	56
43	14
44	58
45	103
46	149
47	196
48	14
49	63
50	21
51	72
52	6
53	59
54	113
55	168
56	42
57	99
58	33
59	92
60	46

n	a(n)
1	1
2	3
3	6
4	10
5	15
6	21
7	28
8	14
9	23
10	33
11	44
12	22
13	35
14	49
15	7
16	23
17	40
18	10
19	29
20	49
21	7
22	29
23	52
24	26
25	51
26	77
27	104
28	26
29	55
30	85
31	116
32	58
33	91
34	125
35	5
36	41
37	78
38	116
39	58
40	98
41	14
42	56
43	14
44	58
45	103
46	149
47	196
48	14
49	63
50	21
51	72
52	6
53	59
54	113
55	168
56	42
57	99
58	33
59	92
60	46

n	a(n)
1	1
2	3
3	6
4	10
5	15
6	21
7	28
8	14
9	23
10	33
11	44
12	22
13	35
14	49
15	7
16	23
17	40
18	10
19	29
20	49
21	7
22	29
23	52
24	26
25	51
26	77
27	104
28	26
29	55
30	85
31	116
32	58
33	91
34	125
35	5
36	41
37	78
38	116
39	58
40	98
41	14
42	56
43	14
44	58
45	103
46	149
47	196
48	14
49	63
50	21
51	72
52	6
53	59
54	113
55	168
56	42
57	99
58	33
59	92
60	46