table of continued fractions of for
The simple continued fractions
for the square roots
of positive integers (which aren’t perfect powers
) are non-terminating but they are periodic. In the following table, the square roots of the integers from 2 to 101 (excluding perfect powers) are listed in compact form: first the integer part followed by semicolon, then the periodic part stated once, its individual terms separated by commas. For example, the notation “14; 14, 28” for 198 means
where the dots mean a periodic repetition of 14 and 28 in the denominators.
As the table shows, the periodic part ends with .