A326044 - cp's OEIS frontend

A326044 a(n) = n - {the largest square dividing its sum of divisors}: a(n) = n - A008833(sigma(n)).

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

[0, 1, -1, 3, 4, 2, 3, 7, 8, 1, 7, 8, 12, 10, 11, 15, 8, 17, 15, 19, 5, -14, 19, 20, 24, 25, 23, 24, 28, -6, 15, 23, 17, 25, 19, 35, 36, 34, 35, 31, 40, 26, 39, 40, 44, 10, 31, 44, 48, 49, 15, 3, 44, 50, 19, 52, 41, 49, 55, 56, 60, 46, 59, 63, 61, -78, 63, 59, 53, -74, 35, 71, 72, 73, 71, 72, 61, 74, 63, 79, -40]

cp's OEIS Frontend

A326044 a(n) = n - {the largest square dividing its sum of divisors}: a(n) = n - A008833(sigma(n)).

Table of values

List of values

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

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

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