A230299 - cp's OEIS frontend

A230299 Define a sequence b_s by b_s(1)=s, b_s(k+1)=b_s(k)+(sum of digits of b_s(k)); a(n) is the number of steps needed for b_n to reach a term in one of b_0, b_1, b_3 or b_9, or a(n) = -1 if b_n never joins one of these four sequences.

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

[0, 0, 0, 0, 0, 52, 0, 11, 0, 0, 51, 50, 0, 49, 10, 0, 0, 48, 0, 9, 50, 0, 49, 0, 0, 47, 48, 0, 0, 8, 0, 49, 46, 0, 47, 48, 0, 45, 0, 0, 7, 46, 7, 47, 6, 0, 45, 44, 6, 0, 46, 0, 5, 5, 0, 45, 44, 0, 43, 4, 5, 4, 0, 0, 4, 44, 4, 43, 3, 0, 0, 42, 0, 3, 3, 4, 43, 0]

cp's OEIS Frontend

A230299 Define a sequence b_s by b_s(1)=s, b_s(k+1)=b_s(k)+(sum of digits of b_s(k)); a(n) is the number of steps needed for b_n to reach a term in one of b_0, b_1, b_3 or b_9, or a(n) = -1 if b_n never joins one of these four sequences.

Table of values

List of values

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

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

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