A252463 - cp's OEIS frontend

A252463 Hybrid shift: a(1) = 1, a(2n) = n, a(2n+1) = A064989(2n+1); shift the even numbers one bit right, shift the prime factorization of odd numbers one step towards smaller primes.

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

[1, 1, 2, 2, 3, 3, 5, 4, 4, 5, 7, 6, 11, 7, 6, 8, 13, 9, 17, 10, 10, 11, 19, 12, 9, 13, 8, 14, 23, 15, 29, 16, 14, 17, 15, 18, 31, 19, 22, 20, 37, 21, 41, 22, 12, 23, 43, 24, 25, 25, 26, 26, 47, 27, 21, 28, 34, 29, 53, 30, 59, 31, 20, 32, 33, 33, 61, 34, 38, 35, 67, 36, 71, 37, 18, 38, 35, 39, 73, 40, 16]

cp's OEIS Frontend

A252463 Hybrid shift: a(1) = 1, a(2n) = n, a(2n+1) = A064989(2n+1); shift the even numbers one bit right, shift the prime factorization of odd numbers one step towards smaller primes.

Table of values

List of values

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

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

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