A248893 - cp's OEIS frontend

A248893 a(0)=0; for n>0, choose a(n) to be the smallest number > a(n-1) such that the condition a(n) > Sum_{k=0..n} (number of 1's in binary expansion of n a(k)) holds.

n	a(n)
0	0
1	2
2	4
3	5
4	8
5	9
6	10
7	12
8	16
9	17
10	18
11	20
12	22
13	24
14	28
15	32
16	33
17	34
18	35
19	38
20	40
21	44
22	48
23	49
24	52
25	56
26	58
27	64
28	65
29	66
30	67
31	68
32	72
33	73
34	76
35	80
36	81
37	84
38	88
39	92
40	96
41	97
42	100
43	104
44	106
45	112
46	113
47	118
48	124
49	128
50	129
51	130
52	131
53	134
54	136
55	140
56	144
57	145
58	148
59	152
60	154
61	160

[0, 2, 4, 5, 8, 9, 10, 12, 16, 17, 18, 20, 22, 24, 28, 32, 33, 34, 35, 38, 40, 44, 48, 49, 52, 56, 58, 64, 65, 66, 67, 68, 72, 73, 76, 80, 81, 84, 88, 92, 96, 97, 100, 104, 106, 112, 113, 118, 124, 128, 129, 130, 131, 134, 136, 140, 144, 145, 148, 152, 154, 160]

cp's OEIS Frontend

A248893 a(0)=0; for n>0, choose a(n) to be the smallest number > a(n-1) such that the condition a(n) > Sum_{k=0..n} (number of 1's in binary expansion of n a(k)) holds.

Table of values

List of values

n	a(n)
0	0
1	2
2	4
3	5
4	8
5	9
6	10
7	12
8	16
9	17
10	18
11	20
12	22
13	24
14	28
15	32
16	33
17	34
18	35
19	38
20	40
21	44
22	48
23	49
24	52
25	56
26	58
27	64
28	65
29	66
30	67
31	68
32	72
33	73
34	76
35	80
36	81
37	84
38	88
39	92
40	96
41	97
42	100
43	104
44	106
45	112
46	113
47	118
48	124
49	128
50	129
51	130
52	131
53	134
54	136
55	140
56	144
57	145
58	148
59	152
60	154
61	160

n	a(n)
0	0
1	2
2	4
3	5
4	8
5	9
6	10
7	12
8	16
9	17
10	18
11	20
12	22
13	24
14	28
15	32
16	33
17	34
18	35
19	38
20	40
21	44
22	48
23	49
24	52
25	56
26	58
27	64
28	65
29	66
30	67
31	68
32	72
33	73
34	76
35	80
36	81
37	84
38	88
39	92
40	96
41	97
42	100
43	104
44	106
45	112
46	113
47	118
48	124
49	128
50	129
51	130
52	131
53	134
54	136
55	140
56	144
57	145
58	148
59	152
60	154
61	160

n	a(n)
0	0
1	2
2	4
3	5
4	8
5	9
6	10
7	12
8	16
9	17
10	18
11	20
12	22
13	24
14	28
15	32
16	33
17	34
18	35
19	38
20	40
21	44
22	48
23	49
24	52
25	56
26	58
27	64
28	65
29	66
30	67
31	68
32	72
33	73
34	76
35	80
36	81
37	84
38	88
39	92
40	96
41	97
42	100
43	104
44	106
45	112
46	113
47	118
48	124
49	128
50	129
51	130
52	131
53	134
54	136
55	140
56	144
57	145
58	148
59	152
60	154
61	160