... drone has one grandfather and one grandmother; he has one greatgrandfather and two great-grandmothers; he has two great-great-grandfathers and three great-great-grandmothers In general, it is easy ... name We have, for example, a0 + 1 a1 + ~ a2 + G = K(ao,al,az ,a3 ) -K(al,az ,a3 ) ' (6.1 35) The same pattern holds for continued fractions of any depth It is easily proved by induction; we have, for ... correctly claims that 3 .5- tS2 = A polynomial formula that involves Fibonacci numbers of the form F,,+k for small values of k can be transformed into a formula that involves only F, and F,+I , because...