Definition:Hexamorphic Number

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Definition

A hexamorphic number is a hexagonal number $H_n$ whose decimal representation ends in $n$.


Sequence of Hexamorphic Numbers

The sequence of hexamorphic numbers, for $n \in \Z_{\ge 0}$, begins:

\(\ds H_1\) \(=\) \(\ds 1\)
\(\ds H_5\) \(=\) \(\ds 45\)
\(\ds H_6\) \(=\) \(\ds 66\)
\(\ds H_{25}\) \(=\) \(\ds 1225\)
\(\ds H_{26}\) \(=\) \(\ds 1326\)
\(\ds H_{50}\) \(=\) \(\ds 4950\)


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