A079222 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 six-fold application of Catalan Automorphisms A057511/A057512 (Deep rotation of general parenthesizations/plane trees).

1, 1, 1, 2, 2, 1, 5, 5, 3, 1, 14, 14, 9, 0, 1, 38, 42, 28, 2, 0, 1, 111, 124, 90, 0, 0, 6, 1, 332, 379, 285, 5, 0, 27, 0, 1, 1029, 1178, 914, 0, 0, 110, 0, 0, 1, 3232, 3742, 2955, 14, 1, 429, 0, 0, 0, 1, 10374, 12024, 9666, 0, 0, 1614, 0, 0, 0, 0, 1, 33679, 39200, 31853, 42, 0

Offset

0,4

Comments

Note: the counts given here are inclusive, i.e. T(n,d) includes also the counts A079218(n,d) and A079219(n,d).

Links

Table of n, a(n) for n=0..70.

Maple

[seq(A079222(n), n=0..119)]; A079222 := n -> PFixedByA057511(A003056(n)+1, 6, A002262(n)+1);

Crossrefs

The row sums equal to the left edge shifted left once = A079227 = sixth row of A079216 (the latter gives the Maple procedure PFixedByA057511). Cf. also A079217-A079221 and A003056 & A002262.

Sequence in context: A190215 A190252 A141751 * A033184 A171567 A110488

Adjacent sequences: A079219 A079220 A079221 * A079223 A079224 A079225

Keyword

nonn,tabl

Author

Antti Karttunen Jan 03 2002

Status

approved