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%I #6 Oct 05 2018 10:38:00
%S 1,1,1,0,2,1,2,1,4,3,5,4,7,6,8,7,12,11,15,14,20,19,24,23,31,30,37,36,
%T 45,44,52,51,64,63,75,74,90,89,104,103,124,123,143,142,167,166,190,
%U 189,221,220,251,250,288,287,324,323,369,368,413,412,465,464,516,515,580
%N G.f.: 1 + x + Sum_{n >= 1} ( x^(2^n)/ ((1+x^(2^(n-1)))*Product_{j=0..n-1} (1-x^(2^j)) ) ).
%e 1 + x + x^2/((1 + x)*(1 - x)) + x^4/((1 + x^2)*(1 - x)*(1 - x^2)) + x^8/((1 + x^4)*(1 - x)*(1 - x^2)*(1 - x^4)) + ...
%t max = 65; 1+x+Sum[x^(2^n)/((1+x^(2^(n-1))) Product[1-x^(2^j), {j, 0, n-1}] ), {n, 1, Log[2, max] // Ceiling}] + O[x]^max // CoefficientList[#, x]& (* _Jean-François Alcover_, Oct 05 2018 *)
%Y Apart from initial terms, same as A088931.
%K nonn
%O 0,5
%A _N. J. A. Sloane_, Dec 02 2003