cp's OEIS Frontend

A079220 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 four-fold application of Catalan Automorphisms A057511/A057512 (Deep rotation of general parenthesizations/plane trees).

%I A079220 #6 Mar 31 2012 14:02:26
%S A079220 1,1,1,2,2,1,5,5,0,1,11,14,0,4,1,30,36,1,14,0,1,82,102,0,48,0,0,1,233,
%T A079220 293,0,153,0,0,0,1,680,860,2,488,0,2,0,0,1,2033,2575,0,1550,1,0,0,4,0,
%U A079220 1,6164,7838,0,4920,0,0,0,0,0,0,1,18923,24148,5,15672,0,5,0,14,0,0,0,1
%N A079220 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 four-fold application of Catalan Automorphisms A057511/A057512 (Deep rotation of general parenthesizations/plane trees).
%C A079220 Note: the counts given here are inclusive, i.e. T(n,d) includes also the count A079218(n,d).
%p A079220 [seq(A079220(n),n=0..119)]; A079220 := n -> PFixedByA057511(A003056(n)+1,4, A002262(n)+1);
%Y A079220 The row sums equal to the left edge shifted left once = A079225 = fourth row of A079216 (the latter gives the Maple procedure PFixedByA057511). Cf. also A079217-A079222 and A003056 & A002262.
%K A079220 nonn,tabl
%O A079220 0,4
%A A079220 _Antti Karttunen_ Jan 03 2002