Perforation of the Fibonacci Sequence in a Book

0-1-1-2-3-5-8-13-21-34-5589…
The Fibonacci Sequence: Fn= F(n-1)+F(n-2)  example: 0+1=1   1+1=2   1+2=3  2+3=5  3+5=8….
The Fibonacci Sequence Perforated in a Book: Fn= 2xF(n-2)+ F(n-3)  example: 1(left spread) +1(right spread)=2 2+0(third preceding spread)=2  1+1=2 2+1=3   2+2=4 4+1=5  3+3=6 6+2=8  5+5=10 10+3=13
1-1-2-3-4-5-8… one