A080633 - cp's OEIS frontend

A080633 a(1)=3; for n > 1, a(n) is the smallest integer greater than a(n-1) consistent with the condition "n is in the sequence if and only if a(n) is congruent to 1 (mod 4)".

n	a(n)
1	3
2	4
3	5
4	9
5	13
6	14
7	15
8	16
9	17
10	18
11	19
12	20
13	21
14	25
15	29
16	33
17	37
18	41
19	45
20	49
21	53
22	54
23	55
24	56
25	57
26	58
27	59
28	60
29	61
30	62
31	63
32	64
33	65
34	66
35	67
36	68
37	69
38	70
39	71
40	72
41	73
42	74
43	75
44	76
45	77
46	78
47	79
48	80
49	81
50	82
51	83
52	84
53	85
54	89
55	93
56	97
57	101
58	105
59	109
60	113
61	117
62	121
63	125
64	129
65	133
66	137
67	141

[3, 4, 5, 9, 13, 14, 15, 16, 17, 18, 19, 20, 21, 25, 29, 33, 37, 41, 45, 49, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 89, 93, 97, 101, 105, 109, 113, 117, 121, 125, 129, 133, 137, 141]

cp's OEIS Frontend

A080633 a(1)=3; for n > 1, a(n) is the smallest integer greater than a(n-1) consistent with the condition "n is in the sequence if and only if a(n) is congruent to 1 (mod 4)".

Table of values

List of values

n	a(n)
1	3
2	4
3	5
4	9
5	13
6	14
7	15
8	16
9	17
10	18
11	19
12	20
13	21
14	25
15	29
16	33
17	37
18	41
19	45
20	49
21	53
22	54
23	55
24	56
25	57
26	58
27	59
28	60
29	61
30	62
31	63
32	64
33	65
34	66
35	67
36	68
37	69
38	70
39	71
40	72
41	73
42	74
43	75
44	76
45	77
46	78
47	79
48	80
49	81
50	82
51	83
52	84
53	85
54	89
55	93
56	97
57	101
58	105
59	109
60	113
61	117
62	121
63	125
64	129
65	133
66	137
67	141

n	a(n)
1	3
2	4
3	5
4	9
5	13
6	14
7	15
8	16
9	17
10	18
11	19
12	20
13	21
14	25
15	29
16	33
17	37
18	41
19	45
20	49
21	53
22	54
23	55
24	56
25	57
26	58
27	59
28	60
29	61
30	62
31	63
32	64
33	65
34	66
35	67
36	68
37	69
38	70
39	71
40	72
41	73
42	74
43	75
44	76
45	77
46	78
47	79
48	80
49	81
50	82
51	83
52	84
53	85
54	89
55	93
56	97
57	101
58	105
59	109
60	113
61	117
62	121
63	125
64	129
65	133
66	137
67	141

n	a(n)
1	3
2	4
3	5
4	9
5	13
6	14
7	15
8	16
9	17
10	18
11	19
12	20
13	21
14	25
15	29
16	33
17	37
18	41
19	45
20	49
21	53
22	54
23	55
24	56
25	57
26	58
27	59
28	60
29	61
30	62
31	63
32	64
33	65
34	66
35	67
36	68
37	69
38	70
39	71
40	72
41	73
42	74
43	75
44	76
45	77
46	78
47	79
48	80
49	81
50	82
51	83
52	84
53	85
54	89
55	93
56	97
57	101
58	105
59	109
60	113
61	117
62	121
63	125
64	129
65	133
66	137
67	141