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G.f. A(x) satisfies: A(x) = 1/(1 + x*A(x) + x^2*A(x)/(1 + x^3*A(x) + x^4*A(x)/(1 + x^5*A(x) + x^6*A(x)/(1 + ...)))), a continued fraction.
1

%I #4 Mar 21 2018 08:01:08

%S 1,-1,1,-1,1,0,-3,10,-26,60,-127,250,-458,766,-1107,1146,188,-5782,

%T 22658,-66620,170841,-400001,869124,-1755912,3263352,-5403598,7264938,

%U -4950248,-13623003,80819359,-275474805,775529946,-1954651995,4537336510,-9788453019,19563409996

%N G.f. A(x) satisfies: A(x) = 1/(1 + x*A(x) + x^2*A(x)/(1 + x^3*A(x) + x^4*A(x)/(1 + x^5*A(x) + x^6*A(x)/(1 + ...)))), a continued fraction.

%e G.f. A(x) = 1 - x + x^2 - x^3 + x^4 - 3*x^6 + 10*x^7 - 26*x^8 + 60*x^9 - 127*x^10 + ...

%Y Cf. A092869, A301362.

%K sign

%O 0,7

%A _Ilya Gutkovskiy_, Mar 20 2018