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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A309666 a(n) is the least k such that the denominators of continued fraction convergents for sqrt(k) match the first n Fibonacci numbers.

Table of values

n a(n)
1 2
2 3
3 7
4 7
5 13
6 58
7 58
8 135
9 819
10 819
11 2081
12 13834
13 13834
14 35955
15 244647
16 244647
17 639389
18 4374866
19 4374866
20 11448871
21 78439683
22 78439683
23 205337953
24 1407271538
25 1407271538
26 3684200835
27 25251313255
28 25251313255
29 66108441037
30 453111560266
31 453111560266
32 1186259960295
33 8130736409715
34 8130736409715
35 21286537898177

List of values

[2, 3, 7, 7, 13, 58, 58, 135, 819, 819, 2081, 13834, 13834, 35955, 244647, 244647, 639389, 4374866, 4374866, 11448871, 78439683, 78439683, 205337953, 1407271538, 1407271538, 3684200835, 25251313255, 25251313255, 66108441037, 453111560266, 453111560266, 1186259960295, 8130736409715, 8130736409715, 21286537898177]

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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