A079222 - OEIS

%I #8 Oct 02 2025 21:08:07

%S 1,1,1,2,2,1,5,5,3,1,14,14,9,0,1,38,42,28,2,0,1,111,124,90,0,0,6,1,

%T 332,379,285,5,0,27,0,1,1029,1178,914,0,0,110,0,0,1,3232,3742,2955,14,

%U 1,429,0,0,0,1,10374,12024,9666,0,0,1614,0,0,0,0,1,33679,39200,31853,42,0

%N Triangle T(n,d) (listed row-wise: T(1,1)=1, T(2,1)=1, T(2,2)=1, T(3,1)=2, T(3,2)=2, T(3,3)=1, ...) giving the number of n-edge general plane trees with root degree d that are fixed by the six-fold application of Catalan Automorphisms A057511/A057512 (Deep rotation of general parenthesizations/plane trees).

%C Note: the counts given here are inclusive, i.e. T(n,d) includes also the counts A079218(n,d) and A079219(n,d).

%p [seq(A079222(n),n=0..119)]; A079222 := n -> PFixedByA057511(A003056(n)+1,6, A002262(n)+1);

%Y The row sums equal to the left edge shifted left once = A079227 = sixth row of A079216 (the latter gives the Maple procedure PFixedByA057511). Cf. also A079217-A079221 and A003056 & A002262.

%K nonn,tabl

%O 0,4

%A _Antti Karttunen_, Jan 03 2002