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G.f. A(x) satisfies: A(x) = x + x^2 + x^3 + x^4 + x^5 * (1 + A(A(x))).
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%I #5 May 10 2019 06:51:53

%S 1,1,1,1,1,1,2,4,8,16,32,66,143,333,838,2250,6320,18275,53925,161957,

%T 495898,1554159,5008758,16662249,57311722,203662894,745602490,

%U 2801326407,10760995574,42141768601,167955587806,680843078327,2808084199432,11793793850210,50489830489534

%N G.f. A(x) satisfies: A(x) = x + x^2 + x^3 + x^4 + x^5 * (1 + A(A(x))).

%C Shifts left 5 places under COMPOSE transform.

%t terms = 35; A[_] = 0; Do[A[x_] = x + x^2 + x^3 + x^4 + x^5 (1 + A[A[x]]) + O[x]^(terms + 1) // Normal, terms + 1]; Rest[CoefficientList[A[x], x]]

%Y Cf. A030266, A030277, A308030, A308031.

%K nonn

%O 1,7

%A _Ilya Gutkovskiy_, May 10 2019