A079224 Number of Catalan objects fixed by three-fold application of the Catalan bijections A057511/A057512 (Deep rotation of general parenthesizations/plane trees).

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

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