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Shifts left 2 places under COMPOSE transform.
4

%I #12 Aug 08 2019 21:06:39

%S 1,1,1,2,4,10,28,86,286,1019,3857,15418,64782,285041,1309355,6263085,

%T 31127475,160432093,856039863,4721638083,26883787141,157812750656,

%U 953995201996,5932516347277,37913110456751,248768719522450,1674488577654500,11553041105489900

%N Shifts left 2 places under COMPOSE transform.

%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>

%F G.f. A(x) satisfies: A(x) = x + x^2 * (1 + A(A(x))). - _Ilya Gutkovskiy_, May 10 2019

%t Nest[x + x^2 + x^2 (# /. x -> #) &, O[x], 20][[3]] (* _Vladimir Reshetnikov_, Aug 08 2019 *)

%Y Cf. A030266.

%K nonn,eigen

%O 1,4

%A _Christian G. Bower_