login
Backward iterated ( limited ) Fibonacci approximation: A000045.
0

%I #11 Jun 05 2017 10:28:43

%S 1,3,6,11,19,32,52,85,139,225,365,592,958,1551,2511,4064,6577,10642,

%T 17220,27863,45084,72948,118033,190982,309016

%N Backward iterated ( limited ) Fibonacci approximation: A000045.

%C This approximation is used to determine the number of generations of Fibonacci rabbits required to get back to the start: this is set for 25 generations at a starting population of 500,000 rabbits.

%F a(n) = Floor[a(n-1)*(-1/2+Sqrt[5])/2]

%t f[0] = 500000; f[n_] := f[n] = Floor[f[n - 1]*(-1/2 + Sqrt[5]/2)] a = Table[f[n], {n, 25, 1, -1}]

%Y Cf. A000045.

%K nonn,uned,obsc,less

%O 0,2

%A _Roger L. Bagula_, Mar 16 2006