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A052781
G.f. A(x) satisfies: A(x) = exp( Sum_{k>=1} A(x^k)^5 * x^k / k ).
1
1, 1, 6, 46, 421, 4191, 44322, 487662, 5527722, 64091887, 756590138, 9062397539, 109866112785, 1345528776005, 16622049264020, 206882949204038, 2591780764974800, 32656149762325321, 413563728245999232, 5261307475883227222, 67207527369932430625
OFFSET
0,3
COMMENTS
Appears to be the Euler transform of A052788. - Falk Hüffner, Dec 03 2015
Old name was: A simple grammar.
FORMULA
G.f. A(x) satisfies: A(x) = exp( Sum_{k>=1} A(x^k)^5 * x^k / k ). - Ilya Gutkovskiy, May 26 2023
MAPLE
spec := [S, {B=Prod(Z, S, S, S, S, S), S=Set(B)}, unlabeled]: seq(combstruct[count](spec, size=n), n=0..20);
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
encyclopedia(AT)pommard.inria.fr, Jan 25 2000
EXTENSIONS
New name from Ilya Gutkovskiy, May 26 2023
STATUS
approved