A374201 - cp's OEIS frontend

A374201 Lexicographically earliest infinite sequence such that a(i) = a(j) => A278222(A048679(A328845(i))) = A278222(A048679(A328845(j))), for all i, j >= 1, where A328845 is a Fibonacci-based variant of the arithmetic derivative.

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

[1, 1, 2, 2, 3, 2, 3, 2, 4, 4, 5, 2, 4, 2, 6, 7, 4, 2, 6, 2, 8, 9, 10, 2, 4, 7, 8, 6, 11, 2, 8, 2, 11, 8, 12, 7, 4, 2, 12, 13, 7, 2, 11, 2, 8, 8, 13, 2, 7, 10, 7, 8, 14, 2, 15, 7, 13, 12, 10, 2, 8, 2, 12, 7, 10, 13, 5, 2, 16, 17, 5, 2, 7, 2, 13, 7, 15, 16, 18, 2, 7, 18, 12, 2, 8, 19, 20, 13, 7, 2, 8, 18, 16, 12, 10, 21, 13, 2, 8, 9, 16]

cp's OEIS Frontend

A374201 Lexicographically earliest infinite sequence such that a(i) = a(j) => A278222(A048679(A328845(i))) = A278222(A048679(A328845(j))), for all i, j >= 1, where A328845 is a Fibonacci-based variant of the arithmetic derivative.

Table of values

List of values

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

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

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