Integer both Square and Triangular/Mistake

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Source Work

1986: David Wells: Curious and Interesting Numbers:

The Dictionary
$1225$


1997: David Wells: Curious and Interesting Numbers (2nd ed.):

The Dictionary
$1225$


Mistake

It is the second number to be simultaneously square and triangular.


Correction

To be technically accurate, it is in fact the $3$rd, after $1$ and $36$.


Sources