A353522 - cp's OEIS frontend

A353522 Lexicographically earliest infinite sequence such that a(i) = a(j) => A000035(i) = A000035(j) and A003415(i) = A003415(j), for all i, j >= 1, where A000035 and A003415 compute the parity and the arithmetic derivative of their argument.

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

[1, 2, 3, 4, 3, 5, 3, 6, 7, 8, 3, 9, 3, 10, 11, 12, 3, 13, 3, 14, 15, 16, 3, 17, 15, 18, 19, 12, 3, 20, 3, 21, 22, 23, 24, 25, 3, 13, 26, 27, 3, 28, 3, 29, 30, 31, 3, 32, 22, 33, 34, 35, 3, 36, 26, 37, 38, 20, 3, 37, 3, 39, 40, 41, 42, 43, 3, 44, 45, 46, 3, 47, 3, 48, 49, 21, 42, 50, 3, 51, 52, 53, 3, 54, 38, 33, 55, 56, 3, 57, 34, 58]

cp's OEIS Frontend

A353522 Lexicographically earliest infinite sequence such that a(i) = a(j) => A000035(i) = A000035(j) and A003415(i) = A003415(j), for all i, j >= 1, where A000035 and A003415 compute the parity and the arithmetic derivative of their argument.

Table of values

List of values

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

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

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