cp's OEIS Frontend

A079221 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)=0, T(3,3)=1, ...) giving the number of n-edge general plane trees with root degree d that are fixed by the five-fold application of Catalan Automorphisms A057511/A057512 (Deep rotation of general parenthesizations/plane trees).

%I A079221 #7 Mar 31 2012 14:02:26
%S A079221 1,1,1,2,0,1,3,1,0,1,5,0,0,0,1,6,2,1,0,5,1,15,0,0,0,20,0,1,36,5,0,1,
%T A079221 65,0,0,1,108,0,2,0,190,0,0,0,1,301,11,0,0,501,0,0,0,0,1,814,0,0,0,
%U A079221 1265,0,0,0,0,0,1,2080,26,3,2,3105,1,0,0,0,5,0,1,5223,0,0,0,7695,0,0,0,0,0,0,0
%N A079221 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)=0, T(3,3)=1, ...) giving the number of n-edge general plane trees with root degree d that are fixed by the five-fold application of Catalan Automorphisms A057511/A057512 (Deep rotation of general parenthesizations/plane trees).
%C A079221 Note: the counts given here are inclusive, i.e. T(n,d) includes also the count A079217(n,d).
%p A079221 [seq(A079221(n),n=0..119)]; A079221 := n -> PFixedByA057511(A003056(n)+1,5, A002262(n)+1);
%Y A079221 The row sums equal to the left edge shifted left once = A079226 = fifth row of A079216 (the latter gives the Maple procedure PFixedByA057511). Cf. also A079217-A079222 and A003056 and A002262.
%K A079221 nonn,tabl
%O A079221 0,4
%A A079221 _Antti Karttunen_ Jan 03 2002