A103977 - cp's OEIS frontend

A103977 Zumkeller deficiency of n: Let d_1 ... d_k be the divisors of n. Then a(n) = min_{ e_1 = +-1, ... e_k = +-1 } | Sum_i e_i d_i |.

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

[1, 1, 2, 1, 4, 0, 6, 1, 5, 2, 10, 0, 12, 4, 6, 1, 16, 1, 18, 0, 10, 8, 22, 0, 19, 10, 14, 0, 28, 0, 30, 1, 18, 14, 22, 1, 36, 16, 22, 0, 40, 0, 42, 4, 12, 20, 46, 0, 41, 7, 30, 6, 52, 0, 38, 0, 34, 26, 58, 0, 60, 28, 22, 1, 46, 0, 66, 10, 42, 0, 70, 1, 72, 34, 26, 12, 58, 0, 78, 0]

cp's OEIS Frontend

A103977 Zumkeller deficiency of n: Let d_1 ... d_k be the divisors of n. Then a(n) = min_{ e_1 = +-1, ... e_k = +-1 } | Sum_i e_i d_i |.

Table of values

List of values

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

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

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