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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). 8
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified February 22 07:53 EST 2018. Contains 299447 sequences. (Running on oeis4.)