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%I #6 Sep 15 2017 11:43:33
%S 1,-1,0,4,-13,19,29,-271,813,-751,-4760,27090,-64793,-7211,711474,
%T -2960908,5032677,10613605,-101563784,324249252,-277992739,
%U -2445619767,13926689707,-33471888047,-12186274415,441311889151,-1820392010748,2958129727814,8133042126855,-71172149566357,222777402233343
%N Expansion of the series reversion of x*Product_{k>=0} (1 + x^(2^k) + x^(2^(k + 1))).
%C Reversion of g.f. for A002487.
%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/SeriesReversion.html">Series Reversion</a>
%H <a href="/index/Res#revert">Index entries for reversions of series</a>
%F G.f. A(x) satisfies: A(x)*Product_{k>=0} (1 + A(x)^(2^k) + A(x)^(2^(k + 1))) = x.
%t nmax = 31; Rest[CoefficientList[InverseSeries[Series[x Product[1 + x^(2^k) + x^(2^(k + 1)), {k, 0, nmax}], {x, 0, nmax}], x], x]]
%Y Cf. A002487.
%K sign
%O 1,4
%A _Ilya Gutkovskiy_, Sep 15 2017
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