A307024 - cp's OEIS frontend

A307024 Lexicographically earliest sequence of different terms starting with a(1) = 1 and a(2) = 2 such that two consecutive terms of opposite parity are followed by their sum; else (same parity), by the smallest term not yet in the sequence.

n	a(n)
1	1
2	2
3	3
4	5
5	4
6	9
7	13
8	6
9	19
10	25
11	7
12	8
13	15
14	23
15	10
16	33
17	43
18	11
19	12
20	24
21	14
22	16
23	17
24	34
25	51
26	85
27	18
28	103
29	121
30	20
31	141
32	161
33	21
34	22
35	44
36	26
37	27
38	53
39	28
40	81
41	109
42	29
43	30
44	59
45	89
46	31
47	32
48	63
49	95
50	35
51	36
52	71
53	107
54	37
55	38
56	75
57	113
58	39
59	40
60	79
61	119
62	41
63	42
64	83
65	125
66	45
67	46
68	91
69	137
70	47
71	48
72	96
73	49
74	145
75	50
76	195
77	245
78	52
79	297
80	349
81	54
82	403

[1, 2, 3, 5, 4, 9, 13, 6, 19, 25, 7, 8, 15, 23, 10, 33, 43, 11, 12, 24, 14, 16, 17, 34, 51, 85, 18, 103, 121, 20, 141, 161, 21, 22, 44, 26, 27, 53, 28, 81, 109, 29, 30, 59, 89, 31, 32, 63, 95, 35, 36, 71, 107, 37, 38, 75, 113, 39, 40, 79, 119, 41, 42, 83, 125, 45, 46, 91, 137, 47, 48, 96, 49, 145, 50, 195, 245, 52, 297, 349, 54, 403]

cp's OEIS Frontend

A307024 Lexicographically earliest sequence of different terms starting with a(1) = 1 and a(2) = 2 such that two consecutive terms of opposite parity are followed by their sum; else (same parity), by the smallest term not yet in the sequence.

Table of values

List of values

n	a(n)
1	1
2	2
3	3
4	5
5	4
6	9
7	13
8	6
9	19
10	25
11	7
12	8
13	15
14	23
15	10
16	33
17	43
18	11
19	12
20	24
21	14
22	16
23	17
24	34
25	51
26	85
27	18
28	103
29	121
30	20
31	141
32	161
33	21
34	22
35	44
36	26
37	27
38	53
39	28
40	81
41	109
42	29
43	30
44	59
45	89
46	31
47	32
48	63
49	95
50	35
51	36
52	71
53	107
54	37
55	38
56	75
57	113
58	39
59	40
60	79
61	119
62	41
63	42
64	83
65	125
66	45
67	46
68	91
69	137
70	47
71	48
72	96
73	49
74	145
75	50
76	195
77	245
78	52
79	297
80	349
81	54
82	403

n	a(n)
1	1
2	2
3	3
4	5
5	4
6	9
7	13
8	6
9	19
10	25
11	7
12	8
13	15
14	23
15	10
16	33
17	43
18	11
19	12
20	24
21	14
22	16
23	17
24	34
25	51
26	85
27	18
28	103
29	121
30	20
31	141
32	161
33	21
34	22
35	44
36	26
37	27
38	53
39	28
40	81
41	109
42	29
43	30
44	59
45	89
46	31
47	32
48	63
49	95
50	35
51	36
52	71
53	107
54	37
55	38
56	75
57	113
58	39
59	40
60	79
61	119
62	41
63	42
64	83
65	125
66	45
67	46
68	91
69	137
70	47
71	48
72	96
73	49
74	145
75	50
76	195
77	245
78	52
79	297
80	349
81	54
82	403

n	a(n)
1	1
2	2
3	3
4	5
5	4
6	9
7	13
8	6
9	19
10	25
11	7
12	8
13	15
14	23
15	10
16	33
17	43
18	11
19	12
20	24
21	14
22	16
23	17
24	34
25	51
26	85
27	18
28	103
29	121
30	20
31	141
32	161
33	21
34	22
35	44
36	26
37	27
38	53
39	28
40	81
41	109
42	29
43	30
44	59
45	89
46	31
47	32
48	63
49	95
50	35
51	36
52	71
53	107
54	37
55	38
56	75
57	113
58	39
59	40
60	79
61	119
62	41
63	42
64	83
65	125
66	45
67	46
68	91
69	137
70	47
71	48
72	96
73	49
74	145
75	50
76	195
77	245
78	52
79	297
80	349
81	54
82	403