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A209867 a(n) = number of integers in range [2^(n-1),(2^n)-1] which permutation A209861/A209862 sends to odd-sized orbits. 7
1, 1, 2, 4, 6, 16, 12, 8, 14, 8, 406, 8, 56, 80, 1686, 8866, 8272, 15178, 9462, 938, 41128 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

a(0) gives the number of odd sized cycles in range [0,0], i.e. 1, as there is just one fixed point in that range.

LINKS

Table of n, a(n) for n=0..20.

EXAMPLE

In range [2^(6-1),(2^6)-1] ([32,63]) of permutations A209861 & A209862, there are 6 cycles of size 1 (six fixed points), 2 cycles of size 3, one cycle of size 4, and 2 cycles of size 8, 6*1 + 2*3 + 1*4 + 2*8 = 32 in total, of which 6*1 + 2*3 elements are in odd-sized cycles, thus a(6)=12.

CROSSREFS

a(n) = A000079(n-1) - A209868(n) for all n>0. Cf. A209860, A209863, A209864, A209865, A209866.

Sequence in context: A295615 A127679 A049022 * A136033 A099315 A005179

Adjacent sequences:  A209864 A209865 A209866 * A209868 A209869 A209870

KEYWORD

nonn

AUTHOR

Antti Karttunen, Mar 24 2012

STATUS

approved

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Last modified April 13 11:49 EDT 2021. Contains 342936 sequences. (Running on oeis4.)