A079224 - OEIS

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A079224

Number of Catalan objects fixed by three-fold application of the Catalan bijections A057511/A057512 (Deep rotation of general parenthesizations/plane trees).

4

1, 1, 2, 3, 8, 18, 43, 104, 273, 702, 1870, 4985, 13562, 37038, 102266, 283774, 793189, 2227115, 6286044, 17811751, 50672898, 144639235, 414181050, 1189365940, 3424477813, 9883578364, 28589660227, 82870288432, 240672107114

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OFFSET

0,3

LINKS

Table of n, a(n) for n=0..28.

FORMULA

a(n) = A079216(n, 3)

MAPLE

A079224 := n -> A079216bi(n, 3);

CROSSREFS

The third row of A079216. The leftmost edge of the triangle A079219 and also its row sums shifted by one. Occurs in A073202 as row 43639. Cf. A057546, A079223-A079227.

Sequence in context: A034076 A272642 A241906 * A002369 A005957 A185171

Adjacent sequences: A079221 A079222 A079223 * A079225 A079226 A079227

KEYWORD

nonn

AUTHOR

Antti Karttunen Jan 03 2002

STATUS

approved