Numerators of fractions in the approximation of the square root of 5 satisfying: a(n)= (a(n-1)+ c)/(a(n-1)+1); with c=5 and a(1)=0. Also product of the powers of two and five times the Fibonacci numbers.
A163305
Numerators of fractions in the approximation of the square root of 5 satisfying: a(n)= (a(n-1)+ c)/(a(n-1)+1); with c=5 and a(1)=0. Also product of the powers of two and five times the Fibonacci numbers.
Terms
- a(0) =0a(1) =5a(2) =10a(3) =40a(4) =120a(5) =400a(6) =1280a(7) =4160a(8) =13440a(9) =43520a(10) =140800a(11) =455680a(12) =1474560a(13) =4771840a(14) =15441920a(15) =49971200a(16) =161710080a(17) =523304960a(18) =1693450240a(19) =5480120320a(20) =17734041600a(21) =57388564480a(22) =185713295360a(23) =600980848640
External references
- oeis: A163305