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G.f.: 1 + (1*x)/(1 + (2*x)^2/(1 + (3*x)^3/(1 + (4*x)^4/(1 + (5*x)^5/(1 + ...))))).
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%I #6 Apr 16 2021 15:47:20

%S 1,1,0,-4,0,16,108,-64,-864,-2660,-22464,33968,272268,1217152,4629312,

%T 68208188,-98077824,-1089798320,-5246016084,-32436365248,

%U -180561473568,-3404617719332,5203858765248,55902314446832,354805454664396,2229923884913920

%N G.f.: 1 + (1*x)/(1 + (2*x)^2/(1 + (3*x)^3/(1 + (4*x)^4/(1 + (5*x)^5/(1 + ...))))).

%o (PARI) a(n) = my(A=1+O(x)); for(i=1, n, A=1+((n-i+1)*x)^(n-i+1)/A); polcoef(A, n);

%Y Cf. A343420, A343427.

%K sign

%O 0,4

%A _Seiichi Manyama_, Apr 16 2021