A291170 - OEIS

A291170

Expansion of 1 + x/(1 + x^4/(1 + x^9/(1 + x^16/(1 + x^25/(1 + ... + x^(k^2)/(1 + ...)))))), a continued fraction.

%I #7 Aug 20 2017 09:23:33

%S 1,1,0,0,0,-1,0,0,0,1,0,0,0,-1,1,0,0,1,-2,0,0,-1,3,-1,0,1,-4,3,0,-1,4,

%T -6,1,1,-4,10,-4,-1,4,-13,10,0,-4,15,-20,4,5,-16,32,-14,-5,16,-44,34,

%U 1,-17,54,-65,13,19,-60,105,-48,-18,64,-149,113,4,-69,189

%N Expansion of 1 + x/(1 + x^4/(1 + x^9/(1 + x^16/(1 + x^25/(1 + ... + x^(k^2)/(1 + ...)))))), a continued fraction.

%F Convolution inverse of A285408.

%Y Cf. A003823.

%K sign

%O 0,19

%A _Seiichi Manyama_, Aug 19 2017