A104177 - cp's OEIS frontend

A104177 A variation on Flavius's sieve (A000960): Start with the natural numbers; at the k-th sieving step, remove every f-th term of the sequence remaining after the (k-1)-st sieving step, where f is the (k+2)-nd Fibonacci number, f=F(k+2); iterate.

n	a(n)
1	1
2	3
3	7
4	9
5	15
6	19
7	21
8	31
9	33
10	37
11	39
12	45
13	51
14	61
15	63
16	67
17	69
18	75
19	79
20	81
21	93
22	97
23	99
24	109
25	111
26	121
27	123
28	127
29	129
30	135
31	139
32	141
33	151
34	157
35	165
36	169
37	171
38	181
39	183
40	189
41	195
42	199
43	201
44	211
45	213
46	219
47	225
48	229
49	231
50	241
51	243
52	247
53	249
54	255
55	261
56	271
57	277
58	279

[1, 3, 7, 9, 15, 19, 21, 31, 33, 37, 39, 45, 51, 61, 63, 67, 69, 75, 79, 81, 93, 97, 99, 109, 111, 121, 123, 127, 129, 135, 139, 141, 151, 157, 165, 169, 171, 181, 183, 189, 195, 199, 201, 211, 213, 219, 225, 229, 231, 241, 243, 247, 249, 255, 261, 271, 277, 279]

cp's OEIS Frontend

A104177 A variation on Flavius's sieve (A000960): Start with the natural numbers; at the k-th sieving step, remove every f-th term of the sequence remaining after the (k-1)-st sieving step, where f is the (k+2)-nd Fibonacci number, f=F(k+2); iterate.

Table of values

List of values

n	a(n)
1	1
2	3
3	7
4	9
5	15
6	19
7	21
8	31
9	33
10	37
11	39
12	45
13	51
14	61
15	63
16	67
17	69
18	75
19	79
20	81
21	93
22	97
23	99
24	109
25	111
26	121
27	123
28	127
29	129
30	135
31	139
32	141
33	151
34	157
35	165
36	169
37	171
38	181
39	183
40	189
41	195
42	199
43	201
44	211
45	213
46	219
47	225
48	229
49	231
50	241
51	243
52	247
53	249
54	255
55	261
56	271
57	277
58	279

n	a(n)
1	1
2	3
3	7
4	9
5	15
6	19
7	21
8	31
9	33
10	37
11	39
12	45
13	51
14	61
15	63
16	67
17	69
18	75
19	79
20	81
21	93
22	97
23	99
24	109
25	111
26	121
27	123
28	127
29	129
30	135
31	139
32	141
33	151
34	157
35	165
36	169
37	171
38	181
39	183
40	189
41	195
42	199
43	201
44	211
45	213
46	219
47	225
48	229
49	231
50	241
51	243
52	247
53	249
54	255
55	261
56	271
57	277
58	279

n	a(n)
1	1
2	3
3	7
4	9
5	15
6	19
7	21
8	31
9	33
10	37
11	39
12	45
13	51
14	61
15	63
16	67
17	69
18	75
19	79
20	81
21	93
22	97
23	99
24	109
25	111
26	121
27	123
28	127
29	129
30	135
31	139
32	141
33	151
34	157
35	165
36	169
37	171
38	181
39	183
40	189
41	195
42	199
43	201
44	211
45	213
46	219
47	225
48	229
49	231
50	241
51	243
52	247
53	249
54	255
55	261
56	271
57	277
58	279