A323637 - cp's OEIS frontend

A323637 Lexicographically earliest sequence of distinct positive integers such that the nested square root sqrt(a(n) - sqrt(a(n-1) - ... - sqrt(a(1))...)) is an integer.

n	a(n)
1	1
2	2
3	5
4	3
5	10
6	4
7	17
8	8
9	6
10	11
11	7
12	18
13	13
14	12
15	19
16	20
17	29
18	9
19	27
20	14
21	28
22	21
23	40
24	15
25	39
26	22
27	53
28	16
29	52
30	23
31	68
32	24
33	85
34	25
35	104
36	26
37	125
38	36
39	30
40	41
41	31
42	54
43	32
44	69
45	33
46	86
47	34
48	105
49	35
50	126
51	47
52	42
53	55
54	43
55	70
56	44
57	87
58	45
59	106
60	46
61	127
62	60
63	56
64	71
65	57
66	88
67	58
68	107
69	59
70	128
71	75
72	72

[1, 2, 5, 3, 10, 4, 17, 8, 6, 11, 7, 18, 13, 12, 19, 20, 29, 9, 27, 14, 28, 21, 40, 15, 39, 22, 53, 16, 52, 23, 68, 24, 85, 25, 104, 26, 125, 36, 30, 41, 31, 54, 32, 69, 33, 86, 34, 105, 35, 126, 47, 42, 55, 43, 70, 44, 87, 45, 106, 46, 127, 60, 56, 71, 57, 88, 58, 107, 59, 128, 75, 72]

cp's OEIS Frontend

A323637 Lexicographically earliest sequence of distinct positive integers such that the nested square root sqrt(a(n) - sqrt(a(n-1) - ... - sqrt(a(1))...)) is an integer.

Table of values

List of values

n	a(n)
1	1
2	2
3	5
4	3
5	10
6	4
7	17
8	8
9	6
10	11
11	7
12	18
13	13
14	12
15	19
16	20
17	29
18	9
19	27
20	14
21	28
22	21
23	40
24	15
25	39
26	22
27	53
28	16
29	52
30	23
31	68
32	24
33	85
34	25
35	104
36	26
37	125
38	36
39	30
40	41
41	31
42	54
43	32
44	69
45	33
46	86
47	34
48	105
49	35
50	126
51	47
52	42
53	55
54	43
55	70
56	44
57	87
58	45
59	106
60	46
61	127
62	60
63	56
64	71
65	57
66	88
67	58
68	107
69	59
70	128
71	75
72	72

n	a(n)
1	1
2	2
3	5
4	3
5	10
6	4
7	17
8	8
9	6
10	11
11	7
12	18
13	13
14	12
15	19
16	20
17	29
18	9
19	27
20	14
21	28
22	21
23	40
24	15
25	39
26	22
27	53
28	16
29	52
30	23
31	68
32	24
33	85
34	25
35	104
36	26
37	125
38	36
39	30
40	41
41	31
42	54
43	32
44	69
45	33
46	86
47	34
48	105
49	35
50	126
51	47
52	42
53	55
54	43
55	70
56	44
57	87
58	45
59	106
60	46
61	127
62	60
63	56
64	71
65	57
66	88
67	58
68	107
69	59
70	128
71	75
72	72

n	a(n)
1	1
2	2
3	5
4	3
5	10
6	4
7	17
8	8
9	6
10	11
11	7
12	18
13	13
14	12
15	19
16	20
17	29
18	9
19	27
20	14
21	28
22	21
23	40
24	15
25	39
26	22
27	53
28	16
29	52
30	23
31	68
32	24
33	85
34	25
35	104
36	26
37	125
38	36
39	30
40	41
41	31
42	54
43	32
44	69
45	33
46	86
47	34
48	105
49	35
50	126
51	47
52	42
53	55
54	43
55	70
56	44
57	87
58	45
59	106
60	46
61	127
62	60
63	56
64	71
65	57
66	88
67	58
68	107
69	59
70	128
71	75
72	72