A079285 First differences of A079284.
0, 2, 1, 5, 4, 13, 13, 34, 39, 89, 112, 233, 313, 610, 859, 1597, 2328, 4181, 6253, 10946, 16687, 28657, 44320, 75025, 117297, 196418, 309619, 514229, 815656, 1346269, 2145541, 3524578, 5637351, 9227465, 14799280, 24157817
Offset: 0
Examples
a(2n) = Fib(2n+2) - 2^(n/2). a(2n+1) = Fib(2n+3)
Links
- Index entries for linear recurrences with constant coefficients, signature (1,3,-2,-2)
Formula
a(n)=Fib(n+2)-2^floor(n/2)(1-(1)^(n+1))/2
G.f.: -x*(-2+x+2*x^2) / ( (x^2+x-1)*(2*x^2-1) ). - R. J. Mathar, Feb 13 2015