A290223 - cp's OEIS frontend

A290223 Algorithm: s(k) = n. s(k+1) = s(k) - digitsum(s(k))^2 if s(k) >= 0 and s(k+1) = s(k)+digitsum(abs(s(k)))^2 if s(k) < 0. Below gives the end behavior for each number n.

n	a(n)
1	0
2	2
3	3
4	6
5	6
6	6
7	3
8	11
9	9
10	9
11	3
12	3
13	6
14	6
15	6
16	3
17	11
18	9
19	0
20	3
21	3
22	6
23	2
24	6
25	3
26	11
27	9
28	9
29	11
30	3
31	6
32	3
33	6
34	3
35	11
36	9
37	9
38	11
39	3
40	6
41	3
42	6
43	3
44	6
45	9
46	9
47	11
48	3
49	6
50	3
51	6
52	3
53	6
54	9
55	9
56	11
57	3
58	6
59	6
60	6
61	3
62	2
63	9
64	9
65	11
66	3
67	6
68	6
69	6
70	3
71	3
72	9
73	9
74	11
75	3
76	6
77	2
78	6
79	3
80	3
81	0
82	9
83	11
84	3
85	6
86	6
87	6
88	3
89	6
90	9
91	9
92	11
93	3
94	6
95	6
96	6
97	3
98	6
99	9
100	9
101	3
102	3
103	6
104	3
105	6
106	3
107	3
108	9
109	9

[0, 2, 3, 6, 6, 6, 3, 11, 9, 9, 3, 3, 6, 6, 6, 3, 11, 9, 0, 3, 3, 6, 2, 6, 3, 11, 9, 9, 11, 3, 6, 3, 6, 3, 11, 9, 9, 11, 3, 6, 3, 6, 3, 6, 9, 9, 11, 3, 6, 3, 6, 3, 6, 9, 9, 11, 3, 6, 6, 6, 3, 2, 9, 9, 11, 3, 6, 6, 6, 3, 3, 9, 9, 11, 3, 6, 2, 6, 3, 3, 0, 9, 11, 3, 6, 6, 6, 3, 6, 9, 9, 11, 3, 6, 6, 6, 3, 6, 9, 9, 3, 3, 6, 3, 6, 3, 3, 9, 9]

cp's OEIS Frontend

A290223 Algorithm: s(k) = n. s(k+1) = s(k) - digitsum(s(k))^2 if s(k) >= 0 and s(k+1) = s(k)+digitsum(abs(s(k)))^2 if s(k) < 0. Below gives the end behavior for each number n.

Table of values

List of values

n	a(n)
1	0
2	2
3	3
4	6
5	6
6	6
7	3
8	11
9	9
10	9
11	3
12	3
13	6
14	6
15	6
16	3
17	11
18	9
19	0
20	3
21	3
22	6
23	2
24	6
25	3
26	11
27	9
28	9
29	11
30	3
31	6
32	3
33	6
34	3
35	11
36	9
37	9
38	11
39	3
40	6
41	3
42	6
43	3
44	6
45	9
46	9
47	11
48	3
49	6
50	3
51	6
52	3
53	6
54	9
55	9
56	11
57	3
58	6
59	6
60	6
61	3
62	2
63	9
64	9
65	11
66	3
67	6
68	6
69	6
70	3
71	3
72	9
73	9
74	11
75	3
76	6
77	2
78	6
79	3
80	3
81	0
82	9
83	11
84	3
85	6
86	6
87	6
88	3
89	6
90	9
91	9
92	11
93	3
94	6
95	6
96	6
97	3
98	6
99	9
100	9
101	3
102	3
103	6
104	3
105	6
106	3
107	3
108	9
109	9

n	a(n)
1	0
2	2
3	3
4	6
5	6
6	6
7	3
8	11
9	9
10	9
11	3
12	3
13	6
14	6
15	6
16	3
17	11
18	9
19	0
20	3
21	3
22	6
23	2
24	6
25	3
26	11
27	9
28	9
29	11
30	3
31	6
32	3
33	6
34	3
35	11
36	9
37	9
38	11
39	3
40	6
41	3
42	6
43	3
44	6
45	9
46	9
47	11
48	3
49	6
50	3
51	6
52	3
53	6
54	9
55	9
56	11
57	3
58	6
59	6
60	6
61	3
62	2
63	9
64	9
65	11
66	3
67	6
68	6
69	6
70	3
71	3
72	9
73	9
74	11
75	3
76	6
77	2
78	6
79	3
80	3
81	0
82	9
83	11
84	3
85	6
86	6
87	6
88	3
89	6
90	9
91	9
92	11
93	3
94	6
95	6
96	6
97	3
98	6
99	9
100	9
101	3
102	3
103	6
104	3
105	6
106	3
107	3
108	9
109	9

n	a(n)
1	0
2	2
3	3
4	6
5	6
6	6
7	3
8	11
9	9
10	9
11	3
12	3
13	6
14	6
15	6
16	3
17	11
18	9
19	0
20	3
21	3
22	6
23	2
24	6
25	3
26	11
27	9
28	9
29	11
30	3
31	6
32	3
33	6
34	3
35	11
36	9
37	9
38	11
39	3
40	6
41	3
42	6
43	3
44	6
45	9
46	9
47	11
48	3
49	6
50	3
51	6
52	3
53	6
54	9
55	9
56	11
57	3
58	6
59	6
60	6
61	3
62	2
63	9
64	9
65	11
66	3
67	6
68	6
69	6
70	3
71	3
72	9
73	9
74	11
75	3
76	6
77	2
78	6
79	3
80	3
81	0
82	9
83	11
84	3
85	6
86	6
87	6
88	3
89	6
90	9
91	9
92	11
93	3
94	6
95	6
96	6
97	3
98	6
99	9
100	9
101	3
102	3
103	6
104	3
105	6
106	3
107	3
108	9
109	9