OFFSET
3,1
COMMENTS
No such rectangle exists for n = 1 or n = 2.
LINKS
Paolo Xausa, Table of n, a(n) for n = 3..1000
EXAMPLE
The first rectangles are listed below.
.
| | area/per. | area | perimeter
---------------------------------------------------
3 | 6 | 1 | 18 | 18
4 | 4 | 1 | 16 | 16
5 | 20 | 2 | 100 | 50
6 | 12 | 2 | 72 | 36
7 | 42 | 3 | 294 | 98
8 | 8 | 2 | 64 | 32
9 | 18 | 3 | 162 | 54
10 | 15 | 3 | 150 | 50
...
For n = 9, two rectangles exist with the area being an integer multiple of the perimeter: one with sides (9, 18) and one with sides (9, 74). a(9) is the smaller one.
MATHEMATICA
CROSSREFS
KEYWORD
nonn
AUTHOR
Paolo Xausa, Aug 25 2024
STATUS
approved