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A052781 G.f. A(x) satisfies: A(x) = exp( Sum_{k>=1} A(x^k)^5 * x^k / k ). 1

%I #19 May 27 2023 05:50:29

%S 1,1,6,46,421,4191,44322,487662,5527722,64091887,756590138,9062397539,

%T 109866112785,1345528776005,16622049264020,206882949204038,

%U 2591780764974800,32656149762325321,413563728245999232,5261307475883227222,67207527369932430625

%N G.f. A(x) satisfies: A(x) = exp( Sum_{k>=1} A(x^k)^5 * x^k / k ).

%C Appears to be the Euler transform of A052788. - _Falk Hüffner_, Dec 03 2015

%C Old name was: A simple grammar.

%H INRIA Algorithms Project, <a href="http://ecs.inria.fr/services/structure?nbr=738">Encyclopedia of Combinatorial Structures 738</a>

%F G.f. A(x) satisfies: A(x) = exp( Sum_{k>=1} A(x^k)^5 * x^k / k ). - _Ilya Gutkovskiy_, May 26 2023

%p spec := [S,{B=Prod(Z,S,S,S,S,S),S=Set(B)},unlabeled]: seq(combstruct[count](spec,size=n), n=0..20);

%Y Cf. A005750, A052751, A052773.

%Y Cf. A052788.

%K easy,nonn

%O 0,3

%A encyclopedia(AT)pommard.inria.fr, Jan 25 2000

%E New name from _Ilya Gutkovskiy_, May 26 2023

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Last modified April 27 07:40 EDT 2024. Contains 372009 sequences. (Running on oeis4.)