Kettenbrüche der Periodenlänge 4
# D P Näherung Kettenbruch Form
2 0 0 2,00000 [2] n2
7 -2 4 2,64575 [2;1,1,1,4] n2 + n - 2
9 0 0 3,00000 [3] n2
14 -2 4 3,74166 [3;1,2,1,6] n2 + n - 2
16 0 0 4,00000 [4] n2
23 -2 4 4,79583 [4;1,3,1,8] n2 + n - 2
25 0 0 5,00000 [5] n2
28 +3 4 5,29150 [5;3,2,3,10] ?
32 -4 4 5,65685 [5;1,1,1,10] ?
33 -3 4 5,74456 [5;1,2,1,10] ?
34 -2 4 5,83095 [5;1,4,1,10] n2 + n - 2
36 0 0 6,00000 [6] n2
47 -2 4 6,85565 [6;1,5,1,12] n2 + n - 2
49 0 0 7,00000 [7] n2
55 +6 4 7,41620 [7;2,2,2,14] ?
60 -4 4 7,74597 [7;1,2,1,14] ?
62 -2 4 7,87401 [7;1,6,1,14] n2 + n - 2
64 0 0 8,00000 [8] n2
75 -6 4 8,66025 [8;1,1,1,16] ?
78 -3 4 8,83176 [8;1,4,1,16] ?
79 -2 4 8,88819 [8;1,7,1,16] n2 + n - 2
81 0 0 9,00000 [9] n2
95 -5 4 9,74679 [9;1,2,1,18] ?
96 -4 4 9,79800 [9;1,3,1,18] ?
98 -2 4 9,89950 [9;1,8,1,18] n2 + n - 2
100 0 0 10,00000 [10] n2
119 -2 4 10,90871 [10;1,9,1,20] n2 + n - 2
121 0 0 11,00000 [11] n2
126 +5 4 11,22497 [11;4,2,4,22] ?
128 +7 4 11,31371 [11;3,5,3,22] ?
136 -8 4 11,22497 [11;1,1,1,22] ?
138 -6 4 11,74734 [11;1,2,1,22] ?
140 -4 4 11,83216 [11;1,4,1,22] ?
141 -3 4 11,87434 [11;1,6,1,22] ?
142 -2 4 11,91638 [11;1,10,1,22] n2 + n - 2
144 0 0 12,00000 [12] n2
155 +11 4 12,44990 [12;2,4,2,24] ?
167 -2 4 12,92285 [12;1,11,1,24] n2 + n - 2
169 0 0 13,00000 [13] n2
174 +5 4 13,19091 [13;5,4,5,26] ?
176 +7 4 13,26650 [13;3,1,3,26] ?
180 +11 4 13,41641 [13;2,2,2,26] ?
189 -7 4 13,74777 [13;1,2,1,26] ?
192 -4 4 13,85641 [13;1,5,1,26] ?
194 -2 4 13,92839 [13;1,12,1,26] n2 + n - 2
196 0 0 14,00000 [14] n2
215 -10 4 14,66288 [14;1,1,1,28] ?
219 -6 4 14,79865 [14;1,3,1,28] ?
220 -5 4 14,83240 [14;1,4,1,28] ?
222 -3 4 14,89966 [14;1,8,1,28] ?
223 -2 4 14,93318 [14;1,13,1,28] n2 + n - 2
225 0 0 15,00000 [15] n2
248 -8 4 15,74802 [15;1,2,1,30] ?
252 -6 4 15,87451 [15;1,6,1,30] ?
254 -2 4 15,93738 [15;1,14,1,30] n2 + n - 2