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Expansion of 1/(1 + x/(1 + x^8/(1 + x^27/(1 + x^64/(1 + x^125/(1 + ... + x^(k^3)/(1 + ...))))))), a continued fraction.
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%I #10 Aug 20 2017 09:23:24

%S 1,-1,1,-1,1,-1,1,-1,1,0,-1,2,-3,4,-5,6,-7,7,-6,4,-1,-3,8,-14,21,-28,

%T 34,-38,39,-36,28,-14,-7,35,-69,107,-147,184,-213,228,-222,188,-120,

%U 14,133,-318,533,-764,990,-1183,1309,-1330,1204,-892,363,400,-1393,2584

%N Expansion of 1/(1 + x/(1 + x^8/(1 + x^27/(1 + x^64/(1 + x^125/(1 + ... + x^(k^3)/(1 + ...))))))), a continued fraction.

%e G.f.: 1 - x + x^2 - x^3 + x^4 - x^5 + x^6 - x^7 + x^8 - x^10 + 2*x^11 - 3*x^12 + ...

%Y Cf. A007325, A285408.

%K sign

%O 0,12

%A _Seiichi Manyama_, Aug 19 2017