A276979 -id:A276979 - cp's OEIS frontend

A206344 a(n) = floor(n/2)^n.

0, 1, 1, 16, 32, 729, 2187, 65536, 262144, 9765625, 48828125, 2176782336, 13060694016, 678223072849, 4747561509943, 281474976710656, 2251799813685248, 150094635296999121, 1350851717672992089, 100000000000000000000, 1000000000000000000000, 81402749386839761113321

Offset: 1

Nathaniel Johnston, Feb 06 2012

The sequence gives the number of (potentially unsolvable) "clock puzzles" with n positions in the video game Final Fantasy XIII-2.
Functions from [n] to [n] with f(i) even or f(i) = 1 for all i. - Olivier Gérard, Sep 23 2016
AGM transform of A059841. See A368366 for the definition of the AGM transform. - Alois P. Heinz, Jan 24 2024

G. C. Greubel, Table of n, a(n) for n = 1..425
N. Johnston, Counting and Solving Final Fantasy XIII-2's Clock Puzzles

Cf. A206345, A206346, A276978, A276979 (other classes of endofunctions defined by image parity).

Cf. A059841, A368366.

[Floor(n/2)^n: n in [1..30]]; // G. C. Greubel, Mar 31 2023

Maple
```
seq(floor(n/2)^n, n=1..50);
```
Mathematica
```
Table[Floor[n/2]^n, {n,30}]
```

[(n//2)^n for n in range(1,31)] # G. C. Greubel, Mar 31 2023

A276978 a(n) = (ceiling(n/2))^n.

Original entry on oeis.org

1, 1, 8, 16, 243, 729, 16384, 65536, 1953125, 9765625, 362797056, 2176782336, 96889010407, 678223072849, 35184372088832, 281474976710656, 16677181699666569, 150094635296999121, 10000000000000000000, 100000000000000000000, 7400249944258160101211

Offset: 1

Olivier Gérard, Sep 23 2016

Functions from [n] to [n] with f(i) odd for all i.
Apart from initial term first differs from A132377 at a(9).
With a(1) = 0: AGM transform of A000035. See A368366 for the definition of the AGM transform. - Alois P. Heinz, Jan 24 2024

Cf. A206344, A276979 (other similar classes of endofunctions).

Cf. A000035, A368366.

Mathematica
```
Table[Ceiling[n/2]^n, {n, 1, 21}]
```

a(n)= ceil(n/2)^n; \\ Michel Marcus, Oct 08 2016

cp's OEIS Frontend

A206344 a(n) = floor(n/2)^n.

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Magma

Maple

Mathematica

SageMath