



0, 1, 1, 16, 32, 729, 2187, 65536, 262144, 9765625, 48828125, 2176782336, 13060694016, 678223072849, 4747561509943, 281474976710656, 2251799813685248, 150094635296999121, 1350851717672992089, 100000000000000000000, 1000000000000000000000
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OFFSET

1,4


COMMENTS

The sequence gives the number of (potentially unsolvable) "clock puzzles" with n positions in the video game Final Fantasy XIII2.
Functions from [n] to [n] with f(i) even or f(i) = 1 for all i.  Olivier Gérard, Sep 23 2016


LINKS

Table of n, a(n) for n=1..21.
N. Johnston, Counting and Solving Final Fantasy XIII2's Clock Puzzles


MAPLE

seq(floor(n/2)^n, n=1..50);


MATHEMATICA

Table[Floor[n/2]^n, {n, 1, 21}]


CROSSREFS

Cf. A206345, A206346.
Cf. A276978, A276979 (other classes of endofunctions defined by image parity).
Sequence in context: A232510 A282832 A331420 * A119349 A070591 A181452
Adjacent sequences: A206341 A206342 A206343 * A206345 A206346 A206347


KEYWORD

nonn,easy


AUTHOR

Nathaniel Johnston, Feb 06 2012


STATUS

approved



