A052798 -id:A052798 - cp's OEIS frontend

A052755 G.f. A(x) satisfies: A(x) = exp( Sum_{k>=1} (-1)^(k+1) * A(x^k)^3 * x^k / k ).

1, 1, 3, 15, 79, 466, 2872, 18409, 121197, 815491, 5581214, 38737651, 272012178, 1928939678, 13794498614, 99371002295, 720411445866, 5252194141946, 38482834469488, 283223825607253, 2092829973445703

Offset: 0

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

Old name was: A simple grammar.

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 711

Cf. A005754, A052775, A052798.

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

G.f. A(x) satisfies: A(x) = exp( Sum_{k>=1} (-1)^(k+1) * A(x^k)^3 * x^k / k ). - Ilya Gutkovskiy, May 26 2023

New name from Ilya Gutkovskiy, May 26 2023

A052775 G.f. A(x) satisfies: A(x) = exp( Sum_{k>=1} (-1)^(k+1) * A(x^k)^4 * x^k / k ).

Original entry on oeis.org

1, 1, 4, 26, 184, 1443, 11888, 101859, 897529, 8085103, 74113656, 689134849, 6484074328, 61620879930, 590628242876, 5703027934533, 55423681958153, 541689157201498, 5320989368024126, 52503593913927276

Offset: 0

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

Old name was: A simple grammar.

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 732

Cf. A005754, A052755, A052798.

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

G.f. A(x) satisfies: A(x) = exp( Sum_{k>=1} (-1)^(k+1) * A(x^k)^4 * x^k / k ). - Ilya Gutkovskiy, May 26 2023

New name from Ilya Gutkovskiy, May 26 2023

cp's OEIS Frontend

A052755 G.f. A(x) satisfies: A(x) = exp( Sum_{k>=1} (-1)^(k+1) * A(x^k)^3 * x^k / k ).

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