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A079285
First differences of A079284.
0
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
0,2
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
EXAMPLE
a(2n) = Fib(2n+2) - 2^(n/2). a(2n+1) = Fib(2n+3)
CROSSREFS
Cf. A000045, A008949, A001519 (bisection), A105693 (bisection).
Sequence in context: A152192 A290889 A120924 * A240607 A304298 A309976
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Feb 08 2003
STATUS
approved