A082284 - cp's OEIS frontend

A082284 a(n) = smallest number k such that k - tau(k) = n, or 0 if no such number exists, where tau(n) = the number of divisors of n (A000005).

n	a(n)
0	1
1	3
2	6
3	5
4	8
5	7
6	9
7	0
8	0
9	11
10	14
11	13
12	18
13	0
14	20
15	17
16	24
17	19
18	22
19	0
20	0
21	23
22	25
23	27
24	0
25	0
26	32
27	29
28	0
29	31
30	34
31	35
32	40
33	0
34	38
35	37
36	0
37	0
38	44
39	41
40	0
41	43
42	46
43	0
44	50
45	47
46	49
47	51
48	56
49	0
50	0
51	53
52	0
53	57
54	58
55	0
56	0
57	59
58	62
59	61
60	72
61	65
62	68
63	0
64	0
65	67
66	0
67	0
68	0
69	71
70	74
71	73
72	84
73	77
74	0
75	0
76	81
77	79
78	82
79	0
80	88

[1, 3, 6, 5, 8, 7, 9, 0, 0, 11, 14, 13, 18, 0, 20, 17, 24, 19, 22, 0, 0, 23, 25, 27, 0, 0, 32, 29, 0, 31, 34, 35, 40, 0, 38, 37, 0, 0, 44, 41, 0, 43, 46, 0, 50, 47, 49, 51, 56, 0, 0, 53, 0, 57, 58, 0, 0, 59, 62, 61, 72, 65, 68, 0, 0, 67, 0, 0, 0, 71, 74, 73, 84, 77, 0, 0, 81, 79, 82, 0, 88]

cp's OEIS Frontend

A082284 a(n) = smallest number k such that k - tau(k) = n, or 0 if no such number exists, where tau(n) = the number of divisors of n (A000005).

Table of values

List of values

n	a(n)
0	1
1	3
2	6
3	5
4	8
5	7
6	9
7	0
8	0
9	11
10	14
11	13
12	18
13	0
14	20
15	17
16	24
17	19
18	22
19	0
20	0
21	23
22	25
23	27
24	0
25	0
26	32
27	29
28	0
29	31
30	34
31	35
32	40
33	0
34	38
35	37
36	0
37	0
38	44
39	41
40	0
41	43
42	46
43	0
44	50
45	47
46	49
47	51
48	56
49	0
50	0
51	53
52	0
53	57
54	58
55	0
56	0
57	59
58	62
59	61
60	72
61	65
62	68
63	0
64	0
65	67
66	0
67	0
68	0
69	71
70	74
71	73
72	84
73	77
74	0
75	0
76	81
77	79
78	82
79	0
80	88

n	a(n)
0	1
1	3
2	6
3	5
4	8
5	7
6	9
7	0
8	0
9	11
10	14
11	13
12	18
13	0
14	20
15	17
16	24
17	19
18	22
19	0
20	0
21	23
22	25
23	27
24	0
25	0
26	32
27	29
28	0
29	31
30	34
31	35
32	40
33	0
34	38
35	37
36	0
37	0
38	44
39	41
40	0
41	43
42	46
43	0
44	50
45	47
46	49
47	51
48	56
49	0
50	0
51	53
52	0
53	57
54	58
55	0
56	0
57	59
58	62
59	61
60	72
61	65
62	68
63	0
64	0
65	67
66	0
67	0
68	0
69	71
70	74
71	73
72	84
73	77
74	0
75	0
76	81
77	79
78	82
79	0
80	88

n	a(n)
0	1
1	3
2	6
3	5
4	8
5	7
6	9
7	0
8	0
9	11
10	14
11	13
12	18
13	0
14	20
15	17
16	24
17	19
18	22
19	0
20	0
21	23
22	25
23	27
24	0
25	0
26	32
27	29
28	0
29	31
30	34
31	35
32	40
33	0
34	38
35	37
36	0
37	0
38	44
39	41
40	0
41	43
42	46
43	0
44	50
45	47
46	49
47	51
48	56
49	0
50	0
51	53
52	0
53	57
54	58
55	0
56	0
57	59
58	62
59	61
60	72
61	65
62	68
63	0
64	0
65	67
66	0
67	0
68	0
69	71
70	74
71	73
72	84
73	77
74	0
75	0
76	81
77	79
78	82
79	0
80	88