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%I #23 Mar 25 2019 04:33:21
%S 1,1,1,0,0,-1,0,-1,1,-1,2,-2,3,-4,5,-7,9,-12,16,-21,28,-37,49,-65,86,
%T -114,151,-200,265,-351,465,-616,816,-1081,1432,-1897,2513,-3329,4410,
%U -5842,7739,-10252,13581,-17991,23833,-31572
%N Expansion of (1+x)/(1-x^2+x^3).
%C Row sums of A124744.
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (0, 1, -1).
%F a(n) = Sum_{k=0..n} C(floor(k/2),n-k)*(-1)^(n-k) = (-1)^n*A078027(n).
%F a(n) = a(n-2) - a(n-3) with a(1) = a(2) = a(3) = 1. - _Taras Goy_, Mar 24 2019
%Y The following are basically all variants of the same sequence: A000931, A078027, A096231, A124745, A133034, A134816, A164001, A182097, A228361 and probably A020720. However, each one has its own special features and deserves its own entry.
%K easy,sign
%O 0,11
%A _Paul Barry_, Nov 06 2006
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