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Number of odd cycles in range [A014137(n-1)..A014138(n-1)] of permutation A057505/A057506, with fixed-points of both A057163 and A057164.
3

%I #8 Jan 11 2024 07:15:37

%S 1,1,0,1,0,2,0,3,0,6,0,12,0,20,0,59,0,120,0

%N Number of odd cycles in range [A014137(n-1)..A014138(n-1)] of permutation A057505/A057506, with fixed-points of both A057163 and A057164.

%C See comment at A080973. Because A057163 can fix only binary trees of odd size, the even-indexed terms are all 0 after n>0.

%F a(n) = A081148(n)-A081153(n).

%Y Bisection: A081156.

%Y Cf. A081148, A081153.

%Y Cf. A014137, A014138, A057505, A057506, A057163, A057164.

%K nonn,more

%O 0,6

%A _Wouter Meeussen_ and _Antti Karttunen_, Mar 10 2003