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%I #4 Nov 19 2017 19:08:39
%S 1,-1,0,3,-8,9,19,-141,448,-759,-951,14355,-71810,238617,-421622,
%T -1283181,17699702,-110524503,494858579,-1480719213,12947578,
%U 41684591673,-396443074054,2562153015315,-12548536326806,39305562343881,52542301031459,-2158744047173613
%N Expansion of 1/(1 + x + x^2/(1 + 2*x + x^2/(1 + 3*x + x^2/(1 + 4*x + x^2/(1 + ...))))), a continued fraction.
%t nmax = 27; CoefficientList[Series[1/(1 + x + ContinuedFractionK[x^2, 1 + (k + 1) x, {k, 1, nmax}]), {x, 0, nmax}], x]
%Y Cf. A000110, A001464, A006789.
%K sign
%O 0,4
%A _Ilya Gutkovskiy_, Nov 19 2017
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