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A198094 3rd term of continued fraction for sqrt(2)^sqrt(2)^...^sqrt(2) with n sqrt(2)'s.

Table of values

n a(n)
1 2
2 1
3 3
4 5
5 8
6 12
7 19
8 28
9 41
10 60
11 87
12 127
13 183
14 266
15 384
16 555
17 802
18 1158
19 1671
20 2412
21 3480
22 5022
23 7246
24 10455
25 15084
26 21763
27 31398
28 45298
29 65353
30 94285
31 136025
32 196244
33 283121
34 408458
35 589281
36 850154
37 1226514
38 1769486
39 2552829
40 3682955
41 5313382

List of values

[2, 1, 3, 5, 8, 12, 19, 28, 41, 60, 87, 127, 183, 266, 384, 555, 802, 1158, 1671, 2412, 3480, 5022, 7246, 10455, 15084, 21763, 31398, 45298, 65353, 94285, 136025, 196244, 283121, 408458, 589281, 850154, 1226514, 1769486, 2552829, 3682955, 5313382]