### Centered Hexamorphic Numbers Solution

Additional infinite sequences in centered hexamorphic numbers are:
H (1 6_k 7) = 8 3_k 1 6_k 7, k= 0,1,2, ... and H( 6_k 7) = 1 3_k 2
6_k 7, k= 0,1,2, ... It's fascinating to note that while centered
hexagonal numbers have a different generating formula from standard
hexagonal numbers (H(n) = n(2n-1)), the infinite sequence given in the
problem section has a similar infinite sequence for hexamorphic numbers.
For hexamorphic numbers, we have H(5 0_k 1) = 5 0_k 1 5 0_k 1, k= 0,1,2,
...

**
**