Sequence of Square Centered Hexagonal Numbers/Mistake
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Source Work
1997: David Wells: Curious and Interesting Numbers (2nd ed.):
- The Dictionary
- $169$
Mistake
- The smallest square hexagonal number, apart from $1$ [is $169$]. The next smallest are $32, 761$ and $6,355,441$.
The hexagonal numbers are those of this form:
The sequence of hexagonal numbers, for $n \in \Z_{\ge 0}$, begins:
- $0, 1, 6, 15, 28, 45, 66, 91, 120, 153, 190, 231, \ldots$
What is intended here is:
- The smallest square centered hexagonal number, apart from $1$.
The centered hexagonal numbers are those of this form:
The sequence of centered hexagonal numbers, for $n \in \Z_{> 0}$, begins:
- $1, 7, 19, 37, 61, 91, 127, 169, 217, 271, 331, 397, 469, 547, 631, 721, 817, 919, \ldots$
$\blacksquare$
Sources
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $169$