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%I #6 Jun 13 2015 00:51:47
%S 0,1,1,6,9,33,62,185,393,1062,2409,6193,14542,36441,87129,215478,
%T 520073,1277441,3098334,7583481,18439977,45050950,109690537,267731409,
%U 652322286,1591394457,3878780921,9460182998,23062009545,56239784865
%N A generalized Chebyshev transform of the Fibonacci numbers.
%C Apply the Riordan array (1/(1-2x^2),x/(1-2x^2)) to A000045.
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (1,5,-2,-4).
%F G.f.: x/(1-x-5x^2+2x^3+4x^4); a(n)=sum{k=0..floor(n/2), 2^k*C(n-k, k)*Fib(n-2k)}.
%K easy,nonn
%O 0,4
%A _Paul Barry_, Apr 23 2005