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Number of Catalan objects fixed by six-fold application of the Catalan bijections A057511/A057512 (Deep rotation of general parenthesizations/plane trees).
8

%I #4 Oct 17 2015 08:36:23

%S 1,1,2,5,14,38,111,332,1029,3232,10374,33679,110722,367252,1228558,

%T 4138120,14025473,47792389,163643066,562722427,1942548520,6729230281,

%U 23385132060,81503084084,284815902739,997741303308,3503112067273

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

%F a(n) = A079216(n, 6)

%p A079227 := n -> A079216bi(n,6);

%Y The sixth row of A079216. The leftmost edge of the triangle A079222 and also its row sums shifted by one. Occurs in A073202 as row 170143779648513184865579715159814351615. Cf. A057546, A079223-A079226.

%K nonn

%O 0,3

%A _Antti Karttunen_ Jan 03 2002