A292869 - OEIS

%I #4 Sep 25 2017 13:08:38

%S 1,-1,0,0,1,-1,0,1,0,-1,-1,2,-1,-1,1,3,-2,-2,2,1,-5,-1,7,1,-5,2,7,-9,

%T -10,6,10,-10,2,22,2,-29,-6,18,-19,-22,39,52,-30,-27,32,-19,-108,-2,

%U 125,29,-43,101,90,-215,-231,83,89,-126,186,522,28,-523,-167,18,-598,-336,1042,1134,-165,-132,401

%N Expansion of 1/(1 + x + x^2 + x^3/(1 + x^4 + x^5 + x^6/(1 + x^7 + x^8 + x^9/(1 + ...)))), a continued fraction.

%t nmax = 70; CoefficientList[Series[1/(1 + x + x^2 + ContinuedFractionK[x^(3 k - 3), 1 + x^(3 k - 2) + x^(3 k - 1), {k, 2, nmax}]), {x, 0, nmax}], x]

%Y Cf. A088353, A092869.

%K sign

%O 0,12

%A _Ilya Gutkovskiy_, Sep 25 2017