A079218 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 two-fold application of Catalan Automorphisms A057511/A057512 (Deep rotation of general parenthesizations/plane trees).

1, 1, 1, 2, 2, 1, 5, 5, 0, 1, 11, 14, 0, 0, 1, 26, 36, 1, 2, 0, 1, 66, 94, 0, 0, 0, 0, 1, 161, 253, 0, 5, 0, 0, 0, 1, 420, 668, 2, 0, 0, 2, 0, 0, 1, 1093, 1807, 0, 14, 1, 0, 0, 0, 0, 1, 2916, 4902, 0, 0, 0, 0, 0, 0, 0, 0, 1, 7819, 13436, 5, 36, 0, 5, 0, 2, 0, 0, 0, 1, 21304, 37016, 0, 0, 0, 0

Offset

0,4

Comments

Note: the counts given here are inclusive, i.e. T(n,d) includes also the count A079217(n,d).

Links

Table of n, a(n) for n=0..83.

Maple

[seq(A079218(n), n=0..119)]; A079218 := n -> PFixedByA057511(A003056(n)+1, 2, A002262(n)+1);

Crossrefs

The row sums equal to the left edge shifted left once = A079223 = second row of A079216 (the latter gives the Maple procedure PFixedByA057511). Cf. also A079217-A079222 and A003056 & A002262.

Sequence in context: A136388 A099605 A288421 * A079220 A158068 A210879

Adjacent sequences: A079215 A079216 A079217 * A079219 A079220 A079221

Keyword

nonn,tabl

Author

Antti Karttunen Jan 03 2002

Status

approved