A305706 - cp's OEIS frontend

A305706 a(n) = smallest m such that the sum of digits of n^m is greater than n, or 0 if no such m exists.

n	a(n)
0	0
1	0
2	2
3	2
4	2
5	2
6	2
7	2
8	2
9	3
10	0
11	4
12	3
13	2
14	2
15	3
16	3
17	2
18	4
19	3
20	14
21	4
22	5
23	4
24	4
25	5
26	4
27	5
28	6
29	6
30	14
31	5
32	6
33	5
34	6
35	6
36	6
37	5
38	5
39	6
40	14
41	7
42	6
43	8
44	6
45	7
46	6
47	8
48	7
49	7
50	16
51	6
52	6
53	8
54	7
55	8
56	7
57	7
58	9
59	7
60	15
61	8
62	8
63	7
64	8
65	8
66	9
67	8
68	8
69	8
70	18
71	12
72	9
73	9
74	8
75	9
76	9
77	9
78	9
79	9
80	18
81	10
82	11
83	11
84	10
85	11
86	11
87	10
88	9
89	10
90	17
91	11
92	11
93	10
94	11
95	10
96	12
97	12
98	10
99	11
100	0

[0, 0, 2, 2, 2, 2, 2, 2, 2, 3, 0, 4, 3, 2, 2, 3, 3, 2, 4, 3, 14, 4, 5, 4, 4, 5, 4, 5, 6, 6, 14, 5, 6, 5, 6, 6, 6, 5, 5, 6, 14, 7, 6, 8, 6, 7, 6, 8, 7, 7, 16, 6, 6, 8, 7, 8, 7, 7, 9, 7, 15, 8, 8, 7, 8, 8, 9, 8, 8, 8, 18, 12, 9, 9, 8, 9, 9, 9, 9, 9, 18, 10, 11, 11, 10, 11, 11, 10, 9, 10, 17, 11, 11, 10, 11, 10, 12, 12, 10, 11, 0]

cp's OEIS Frontend

A305706 a(n) = smallest m such that the sum of digits of n^m is greater than n, or 0 if no such m exists.

Table of values

List of values

n	a(n)
0	0
1	0
2	2
3	2
4	2
5	2
6	2
7	2
8	2
9	3
10	0
11	4
12	3
13	2
14	2
15	3
16	3
17	2
18	4
19	3
20	14
21	4
22	5
23	4
24	4
25	5
26	4
27	5
28	6
29	6
30	14
31	5
32	6
33	5
34	6
35	6
36	6
37	5
38	5
39	6
40	14
41	7
42	6
43	8
44	6
45	7
46	6
47	8
48	7
49	7
50	16
51	6
52	6
53	8
54	7
55	8
56	7
57	7
58	9
59	7
60	15
61	8
62	8
63	7
64	8
65	8
66	9
67	8
68	8
69	8
70	18
71	12
72	9
73	9
74	8
75	9
76	9
77	9
78	9
79	9
80	18
81	10
82	11
83	11
84	10
85	11
86	11
87	10
88	9
89	10
90	17
91	11
92	11
93	10
94	11
95	10
96	12
97	12
98	10
99	11
100	0

n	a(n)
0	0
1	0
2	2
3	2
4	2
5	2
6	2
7	2
8	2
9	3
10	0
11	4
12	3
13	2
14	2
15	3
16	3
17	2
18	4
19	3
20	14
21	4
22	5
23	4
24	4
25	5
26	4
27	5
28	6
29	6
30	14
31	5
32	6
33	5
34	6
35	6
36	6
37	5
38	5
39	6
40	14
41	7
42	6
43	8
44	6
45	7
46	6
47	8
48	7
49	7
50	16
51	6
52	6
53	8
54	7
55	8
56	7
57	7
58	9
59	7
60	15
61	8
62	8
63	7
64	8
65	8
66	9
67	8
68	8
69	8
70	18
71	12
72	9
73	9
74	8
75	9
76	9
77	9
78	9
79	9
80	18
81	10
82	11
83	11
84	10
85	11
86	11
87	10
88	9
89	10
90	17
91	11
92	11
93	10
94	11
95	10
96	12
97	12
98	10
99	11
100	0

n	a(n)
0	0
1	0
2	2
3	2
4	2
5	2
6	2
7	2
8	2
9	3
10	0
11	4
12	3
13	2
14	2
15	3
16	3
17	2
18	4
19	3
20	14
21	4
22	5
23	4
24	4
25	5
26	4
27	5
28	6
29	6
30	14
31	5
32	6
33	5
34	6
35	6
36	6
37	5
38	5
39	6
40	14
41	7
42	6
43	8
44	6
45	7
46	6
47	8
48	7
49	7
50	16
51	6
52	6
53	8
54	7
55	8
56	7
57	7
58	9
59	7
60	15
61	8
62	8
63	7
64	8
65	8
66	9
67	8
68	8
69	8
70	18
71	12
72	9
73	9
74	8
75	9
76	9
77	9
78	9
79	9
80	18
81	10
82	11
83	11
84	10
85	11
86	11
87	10
88	9
89	10
90	17
91	11
92	11
93	10
94	11
95	10
96	12
97	12
98	10
99	11
100	0