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%I #7 Aug 09 2019 02:52:24
%S 1,1,1,1,-1,1,-1,3,-15,59,-189,567,-1863,7141,-29817,125919,-528329,
%T 2238303,-9769917,44312225,-208177669,1005840685,-4972561375,
%U 25105651267,-129470605611,682486916465,-3678964401327,20276967904907,-114199064797229,656666370592173
%N Shifts left by 3 places under series reversion.
%C Series reversion of the g.f. gives the same sequence with three initial terms (1, 1, 1) dropped.
%F G.f. satisfies A((A(x) - x - x^2 - x^3)/x^3) = x.
%t Nest[InverseSeries[#] x^3 + x^3 + x^2 + x &, x + O[x]^2, 10][[3]]
%Y Cf. A067145, A309254.
%K sign
%O 1,8
%A _Vladimir Reshetnikov_, Aug 08 2019