A353159 - cp's OEIS frontend

A353159 Integers k for which there exists some integer m such that the sum of the digits of m^k is equal to m + k.

n	a(n)
1	2
2	3
3	6
4	9
5	12
6	15
7	18
8	20
9	21
10	24
11	27
12	30
13	33
14	36
15	38
16	39
17	42
18	45
19	48
20	51
21	54
22	56
23	57
24	63
25	66
26	69
27	72
28	74
29	75
30	78
31	81
32	84
33	87
34	90
35	92
36	93
37	96
38	99
39	102
40	105
41	108
42	110
43	111
44	114
45	117
46	120
47	123
48	126
49	129
50	132
51	135
52	141
53	144
54	146
55	147
56	150
57	153
58	156
59	159
60	162

[2, 3, 6, 9, 12, 15, 18, 20, 21, 24, 27, 30, 33, 36, 38, 39, 42, 45, 48, 51, 54, 56, 57, 63, 66, 69, 72, 74, 75, 78, 81, 84, 87, 90, 92, 93, 96, 99, 102, 105, 108, 110, 111, 114, 117, 120, 123, 126, 129, 132, 135, 141, 144, 146, 147, 150, 153, 156, 159, 162]

cp's OEIS Frontend

A353159 Integers k for which there exists some integer m such that the sum of the digits of m^k is equal to m + k.

Table of values

List of values

n	a(n)
1	2
2	3
3	6
4	9
5	12
6	15
7	18
8	20
9	21
10	24
11	27
12	30
13	33
14	36
15	38
16	39
17	42
18	45
19	48
20	51
21	54
22	56
23	57
24	63
25	66
26	69
27	72
28	74
29	75
30	78
31	81
32	84
33	87
34	90
35	92
36	93
37	96
38	99
39	102
40	105
41	108
42	110
43	111
44	114
45	117
46	120
47	123
48	126
49	129
50	132
51	135
52	141
53	144
54	146
55	147
56	150
57	153
58	156
59	159
60	162

n	a(n)
1	2
2	3
3	6
4	9
5	12
6	15
7	18
8	20
9	21
10	24
11	27
12	30
13	33
14	36
15	38
16	39
17	42
18	45
19	48
20	51
21	54
22	56
23	57
24	63
25	66
26	69
27	72
28	74
29	75
30	78
31	81
32	84
33	87
34	90
35	92
36	93
37	96
38	99
39	102
40	105
41	108
42	110
43	111
44	114
45	117
46	120
47	123
48	126
49	129
50	132
51	135
52	141
53	144
54	146
55	147
56	150
57	153
58	156
59	159
60	162

n	a(n)
1	2
2	3
3	6
4	9
5	12
6	15
7	18
8	20
9	21
10	24
11	27
12	30
13	33
14	36
15	38
16	39
17	42
18	45
19	48
20	51
21	54
22	56
23	57
24	63
25	66
26	69
27	72
28	74
29	75
30	78
31	81
32	84
33	87
34	90
35	92
36	93
37	96
38	99
39	102
40	105
41	108
42	110
43	111
44	114
45	117
46	120
47	123
48	126
49	129
50	132
51	135
52	141
53	144
54	146
55	147
56	150
57	153
58	156
59	159
60	162