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Centered hexagonal number
Number that represents a hexagon with a dot in the center / From Wikipedia, the free encyclopedia
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In mathematics and combinatorics, a centered hexagonal number, or hex number,[1][2] is a centered figurate number that represents a hexagon with a dot in the center and all other dots surrounding the center dot in a hexagonal lattice. The following figures illustrate this arrangement for the first four centered hexagonal numbers:
![Thumb image](http://upload.wikimedia.org/wikipedia/commons/thumb/f/f9/Catan_Universe_fixed_setup.svg/320px-Catan_Universe_fixed_setup.svg.png)
19 land tiles,
37 total tiles
Centered hexagonal numbers should not be confused with cornered hexagonal numbers, which are figurate numbers in which the associated hexagons share a vertex.
The sequence of hexagonal numbers starts out as follows (sequence A003215 in the OEIS):