A345967 - cp's OEIS frontend

A345967 Lexicographically first sequence of distinct positive integers such that the alternating partial sums p(n) = Sum_{k=1..n} -(-1)^k a(k), n >= 1, are distinct positive integers.

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

[2, 1, 5, 3, 6, 4, 7, 8, 12, 9, 11, 10, 15, 13, 17, 14, 16, 18, 22, 19, 21, 20, 25, 23, 26, 24, 28, 27, 30, 29, 32, 31, 35, 33, 36, 34, 37, 38, 42, 39, 43, 40, 44, 41, 45, 47, 46, 48, 55, 49, 51, 50, 53, 52, 57, 54, 56, 58, 62, 59, 63, 60, 64, 61, 65, 67, 66, 68, 74, 69, 72, 70, 75, 71, 73, 76, 79, 77, 80, 78]

cp's OEIS Frontend

A345967 Lexicographically first sequence of distinct positive integers such that the alternating partial sums p(n) = Sum_{k=1..n} -(-1)^k a(k), n >= 1, are distinct positive integers.

Table of values

List of values

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

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

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