A127397 - cp's OEIS frontend

A127397 a(0)=0; a(n) = smallest positive integer not occurring earlier in the sequence such that a(n-1)+a(n) = j^k, j = any positive integer, k = any integer >= 2.

n	a(n)
0	0
1	1
2	3
3	5
4	4
5	12
6	13
7	14
8	2
9	6
10	10
11	15
12	17
13	8
14	19
15	30
16	34
17	47
18	53
19	11
20	16
21	9
22	7
23	18
24	31
25	33
26	48
27	52
28	29
29	20
30	44
31	37
32	27
33	22
34	42
35	39
36	25
37	24
38	40
39	41
40	23
41	26
42	38
43	43
44	21
45	28
46	36
47	45
48	55
49	66
50	59
51	62
52	63
53	58
54	67
55	54
56	46
57	35
58	65
59	56
60	69
61	75
62	50
63	71
64	57
65	64
66	61
67	60
68	68
69	32
70	49
71	51
72	70

[0, 1, 3, 5, 4, 12, 13, 14, 2, 6, 10, 15, 17, 8, 19, 30, 34, 47, 53, 11, 16, 9, 7, 18, 31, 33, 48, 52, 29, 20, 44, 37, 27, 22, 42, 39, 25, 24, 40, 41, 23, 26, 38, 43, 21, 28, 36, 45, 55, 66, 59, 62, 63, 58, 67, 54, 46, 35, 65, 56, 69, 75, 50, 71, 57, 64, 61, 60, 68, 32, 49, 51, 70]

cp's OEIS Frontend

A127397 a(0)=0; a(n) = smallest positive integer not occurring earlier in the sequence such that a(n-1)+a(n) = j^k, j = any positive integer, k = any integer >= 2.

Table of values

List of values

n	a(n)
0	0
1	1
2	3
3	5
4	4
5	12
6	13
7	14
8	2
9	6
10	10
11	15
12	17
13	8
14	19
15	30
16	34
17	47
18	53
19	11
20	16
21	9
22	7
23	18
24	31
25	33
26	48
27	52
28	29
29	20
30	44
31	37
32	27
33	22
34	42
35	39
36	25
37	24
38	40
39	41
40	23
41	26
42	38
43	43
44	21
45	28
46	36
47	45
48	55
49	66
50	59
51	62
52	63
53	58
54	67
55	54
56	46
57	35
58	65
59	56
60	69
61	75
62	50
63	71
64	57
65	64
66	61
67	60
68	68
69	32
70	49
71	51
72	70

n	a(n)
0	0
1	1
2	3
3	5
4	4
5	12
6	13
7	14
8	2
9	6
10	10
11	15
12	17
13	8
14	19
15	30
16	34
17	47
18	53
19	11
20	16
21	9
22	7
23	18
24	31
25	33
26	48
27	52
28	29
29	20
30	44
31	37
32	27
33	22
34	42
35	39
36	25
37	24
38	40
39	41
40	23
41	26
42	38
43	43
44	21
45	28
46	36
47	45
48	55
49	66
50	59
51	62
52	63
53	58
54	67
55	54
56	46
57	35
58	65
59	56
60	69
61	75
62	50
63	71
64	57
65	64
66	61
67	60
68	68
69	32
70	49
71	51
72	70

n	a(n)
0	0
1	1
2	3
3	5
4	4
5	12
6	13
7	14
8	2
9	6
10	10
11	15
12	17
13	8
14	19
15	30
16	34
17	47
18	53
19	11
20	16
21	9
22	7
23	18
24	31
25	33
26	48
27	52
28	29
29	20
30	44
31	37
32	27
33	22
34	42
35	39
36	25
37	24
38	40
39	41
40	23
41	26
42	38
43	43
44	21
45	28
46	36
47	45
48	55
49	66
50	59
51	62
52	63
53	58
54	67
55	54
56	46
57	35
58	65
59	56
60	69
61	75
62	50
63	71
64	57
65	64
66	61
67	60
68	68
69	32
70	49
71	51
72	70