A286388 - cp's OEIS frontend

A286388 Compound filter ("discard the smallest prime factor" & "number of trailing 1-bits in base-2"): a(n) = P(A032742(n), A001511(1+n)), where P(n,k) is sequence A000027 used as a pairing function, with a(1) = 0.

n	a(n)
1	0
2	1
3	4
4	3
5	2
6	6
7	7
8	10
9	9
10	15
11	4
12	21
13	2
14	28
15	41
16	36
17	2
18	45
19	4
20	55
21	35
22	66
23	7
24	78
25	20
26	91
27	64
28	105
29	2
30	120
31	16
32	136
33	77
34	153
35	43
36	171
37	2
38	190
39	133
40	210
41	2
42	231
43	4
44	253
45	135
46	276
47	11
48	300
49	35
50	325
51	188
52	351
53	2
54	378
55	102
56	406
57	209
58	435
59	4
60	465
61	2
62	496
63	372
64	528
65	104
66	561
67	4
68	595
69	299
70	630
71	7
72	666
73	2
74	703
75	376
76	741
77	77
78	780
79	11
80	820
81	405
82	861
83	4
84	903
85	170
86	946

[0, 1, 4, 3, 2, 6, 7, 10, 9, 15, 4, 21, 2, 28, 41, 36, 2, 45, 4, 55, 35, 66, 7, 78, 20, 91, 64, 105, 2, 120, 16, 136, 77, 153, 43, 171, 2, 190, 133, 210, 2, 231, 4, 253, 135, 276, 11, 300, 35, 325, 188, 351, 2, 378, 102, 406, 209, 435, 4, 465, 2, 496, 372, 528, 104, 561, 4, 595, 299, 630, 7, 666, 2, 703, 376, 741, 77, 780, 11, 820, 405, 861, 4, 903, 170, 946]

cp's OEIS Frontend

A286388 Compound filter ("discard the smallest prime factor" & "number of trailing 1-bits in base-2"): a(n) = P(A032742(n), A001511(1+n)), where P(n,k) is sequence A000027 used as a pairing function, with a(1) = 0.

Table of values

List of values

n	a(n)
1	0
2	1
3	4
4	3
5	2
6	6
7	7
8	10
9	9
10	15
11	4
12	21
13	2
14	28
15	41
16	36
17	2
18	45
19	4
20	55
21	35
22	66
23	7
24	78
25	20
26	91
27	64
28	105
29	2
30	120
31	16
32	136
33	77
34	153
35	43
36	171
37	2
38	190
39	133
40	210
41	2
42	231
43	4
44	253
45	135
46	276
47	11
48	300
49	35
50	325
51	188
52	351
53	2
54	378
55	102
56	406
57	209
58	435
59	4
60	465
61	2
62	496
63	372
64	528
65	104
66	561
67	4
68	595
69	299
70	630
71	7
72	666
73	2
74	703
75	376
76	741
77	77
78	780
79	11
80	820
81	405
82	861
83	4
84	903
85	170
86	946

n	a(n)
1	0
2	1
3	4
4	3
5	2
6	6
7	7
8	10
9	9
10	15
11	4
12	21
13	2
14	28
15	41
16	36
17	2
18	45
19	4
20	55
21	35
22	66
23	7
24	78
25	20
26	91
27	64
28	105
29	2
30	120
31	16
32	136
33	77
34	153
35	43
36	171
37	2
38	190
39	133
40	210
41	2
42	231
43	4
44	253
45	135
46	276
47	11
48	300
49	35
50	325
51	188
52	351
53	2
54	378
55	102
56	406
57	209
58	435
59	4
60	465
61	2
62	496
63	372
64	528
65	104
66	561
67	4
68	595
69	299
70	630
71	7
72	666
73	2
74	703
75	376
76	741
77	77
78	780
79	11
80	820
81	405
82	861
83	4
84	903
85	170
86	946

n	a(n)
1	0
2	1
3	4
4	3
5	2
6	6
7	7
8	10
9	9
10	15
11	4
12	21
13	2
14	28
15	41
16	36
17	2
18	45
19	4
20	55
21	35
22	66
23	7
24	78
25	20
26	91
27	64
28	105
29	2
30	120
31	16
32	136
33	77
34	153
35	43
36	171
37	2
38	190
39	133
40	210
41	2
42	231
43	4
44	253
45	135
46	276
47	11
48	300
49	35
50	325
51	188
52	351
53	2
54	378
55	102
56	406
57	209
58	435
59	4
60	465
61	2
62	496
63	372
64	528
65	104
66	561
67	4
68	595
69	299
70	630
71	7
72	666
73	2
74	703
75	376
76	741
77	77
78	780
79	11
80	820
81	405
82	861
83	4
84	903
85	170
86	946