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%I #7 Sep 28 2013 03:48:12
%S 1,0,0,0,0,0,0,0,0,1,3,8,19,42,89,183,366,718,1385,2636,4961,9249,
%T 17105,31416,57356,104170,188331,339119,608464,1088286,1940994,
%U 3453084,6129207,10857097,19196490,33884792,59721438,105113418,184774518,324436647,569068543,997205614,1745923072,3054338540,5339361915,9327547185,16284517131,28414038840,49551994304,86372825386,150486363173
%N Difference between integers nearest to (2^((n-3)/2) + 3^((n-3)/2)) (A229194) and Fibonacci numbers (A000045).
%C The following terms are Fibonacci numbers: a(9) = F(2), a(10)= F(4) , a(11) = F(6), a(14) = F(11); or the algebraic sum of two Fibonacci numbers: a(12) = F(8) - F(3), a(13) = F(10) - F(7), a(14) = F(12) - F(10); or the algebraic sum of three Fibonacci numbers: a(15) = F(12) + F(9) + F(5), a(16) = F(14) - F(6) - F(4), a(18) = F(16) + F(14) + F(8), a(19) = F(18) + F(10) - F(3).
%H Vladimir Pletser, <a href="/A229198/b229198.txt">Table of n, a(n) for n = 0..1000</a>
%F a(n) = A229194(n) - A000045(n)
%p with (combinat): seq(round(2^((n-3)/2)+3^((n-3)/2))-fibonacci(n), n=0..50);
%Y Cf. A000045, A229194.
%K nonn
%O 0,11
%A _Vladimir Pletser_, Sep 15 2013
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