Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #10 Mar 31 2012 14:02:26
%S 1,1,1,2,0,1,3,1,0,1,5,0,0,0,1,6,2,1,0,0,1,10,0,0,0,0,0,1,11,5,0,1,0,
%T 0,0,1,18,0,2,0,0,0,0,0,1,21,11,0,0,1,0,0,0,0,1,34,0,0,0,0,0,0,0,0,0,
%U 1,35,26,3,2,0,1,0,0,0,0,0,1,68,0,0,0,0,0,0,0,0,0,0,0,1,69,66,0,0,0,0,1,0,0
%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)=0, T(3,3)=1, ...) giving the number of n-edge general plane trees with root degree d that are fixed by Catalan Automorphisms A057511/A057512 (Deep rotation of general parenthesizations/plane trees).
%H <a href="/index/Par#parens">Index entries for sequences related to parenthesizing</a>
%p [seq(A079217(n),n=0..119)]; A079217 := n -> PFixedByA057511(A003056(n)+1,1, A002262(n)+1);
%Y The row sums equal to the left edge shifted left once = A057546 = first row of A079216 (the latter gives the Maple procedure PFixedByA057511). Cf. also A079218, A079219, A079220, A079221, A079222 and A003056 and A002262.
%K nonn,tabl
%O 0,4
%A _Antti Karttunen_ Jan 03 2002