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A079285 First differences of A079284. 0

%I #7 Jun 13 2015 00:50:50

%S 0,2,1,5,4,13,13,34,39,89,112,233,313,610,859,1597,2328,4181,6253,

%T 10946,16687,28657,44320,75025,117297,196418,309619,514229,815656,

%U 1346269,2145541,3524578,5637351,9227465,14799280,24157817

%N First differences of A079284.

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (1,3,-2,-2)

%F a(n)=Fib(n+2)-2^floor(n/2)(1-(1)^(n+1))/2

%F G.f.: -x*(-2+x+2*x^2) / ( (x^2+x-1)*(2*x^2-1) ). - _R. J. Mathar_, Feb 13 2015

%e a(2n) = Fib(2n+2) - 2^(n/2). a(2n+1) = Fib(2n+3)

%Y Cf. A000045, A008949, A001519 (bisection), A105693 (bisection).

%K easy,nonn

%O 0,2

%A _Paul Barry_, Feb 08 2003

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Last modified June 23 08:39 EDT 2024. Contains 373629 sequences. (Running on oeis4.)