A323635 - cp's OEIS frontend

A323635 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	3
3	2
4	7
5	6
6	13
7	5
8	22
9	4
10	33
11	10
12	12
13	21
14	11
15	32
16	19
17	20
18	31
19	30
20	43
21	9
22	45
23	18
24	44
25	29
26	58
27	8
28	60
29	17
30	59
31	28
32	75
33	16
34	76
35	27
36	94
37	15
38	95
39	26
40	115
41	14
42	116
43	25
44	138
45	24
46	163
47	23
48	190
49	35
50	42
51	57
52	41
53	74
54	40
55	93
56	39
57	114
58	38
59	137
60	37
61	162
62	36
63	189
64	50
65	56
66	73
67	55
68	92
69	54
70	113
71	53
72	136

[1, 3, 2, 7, 6, 13, 5, 22, 4, 33, 10, 12, 21, 11, 32, 19, 20, 31, 30, 43, 9, 45, 18, 44, 29, 58, 8, 60, 17, 59, 28, 75, 16, 76, 27, 94, 15, 95, 26, 115, 14, 116, 25, 138, 24, 163, 23, 190, 35, 42, 57, 41, 74, 40, 93, 39, 114, 38, 137, 37, 162, 36, 189, 50, 56, 73, 55, 92, 54, 113, 53, 136]

cp's OEIS Frontend

A323635 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	3
3	2
4	7
5	6
6	13
7	5
8	22
9	4
10	33
11	10
12	12
13	21
14	11
15	32
16	19
17	20
18	31
19	30
20	43
21	9
22	45
23	18
24	44
25	29
26	58
27	8
28	60
29	17
30	59
31	28
32	75
33	16
34	76
35	27
36	94
37	15
38	95
39	26
40	115
41	14
42	116
43	25
44	138
45	24
46	163
47	23
48	190
49	35
50	42
51	57
52	41
53	74
54	40
55	93
56	39
57	114
58	38
59	137
60	37
61	162
62	36
63	189
64	50
65	56
66	73
67	55
68	92
69	54
70	113
71	53
72	136

n	a(n)
1	1
2	3
3	2
4	7
5	6
6	13
7	5
8	22
9	4
10	33
11	10
12	12
13	21
14	11
15	32
16	19
17	20
18	31
19	30
20	43
21	9
22	45
23	18
24	44
25	29
26	58
27	8
28	60
29	17
30	59
31	28
32	75
33	16
34	76
35	27
36	94
37	15
38	95
39	26
40	115
41	14
42	116
43	25
44	138
45	24
46	163
47	23
48	190
49	35
50	42
51	57
52	41
53	74
54	40
55	93
56	39
57	114
58	38
59	137
60	37
61	162
62	36
63	189
64	50
65	56
66	73
67	55
68	92
69	54
70	113
71	53
72	136

n	a(n)
1	1
2	3
3	2
4	7
5	6
6	13
7	5
8	22
9	4
10	33
11	10
12	12
13	21
14	11
15	32
16	19
17	20
18	31
19	30
20	43
21	9
22	45
23	18
24	44
25	29
26	58
27	8
28	60
29	17
30	59
31	28
32	75
33	16
34	76
35	27
36	94
37	15
38	95
39	26
40	115
41	14
42	116
43	25
44	138
45	24
46	163
47	23
48	190
49	35
50	42
51	57
52	41
53	74
54	40
55	93
56	39
57	114
58	38
59	137
60	37
61	162
62	36
63	189
64	50
65	56
66	73
67	55
68	92
69	54
70	113
71	53
72	136