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).

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, 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, 1, 6164, 7838, 0, 4920, 0, 0, 0, 0, 0, 0, 1, 18923, 24148, 5, 15672, 0, 5, 0, 14, 0, 0, 0, 1

Offset

0,4

Comments

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

Links

Table of n, a(n) for n=0..77.

Maple

[seq(A079220(n), n=0..119)]; A079220 := n -> PFixedByA057511(A003056(n)+1, 4, A002262(n)+1);

Crossrefs

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.

Sequence in context: A099605 A288421 A079218 * A158068 A210879 A176265

Adjacent sequences: A079217 A079218 A079219 * A079221 A079222 A079223

Keyword

nonn,tabl

Author

Antti Karttunen Jan 03 2002

Status

approved