Square triangular number: Difference between revisions

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which is an instance of Pell's equation and is solved by the [[Pell number]]s.
 
We get the [[recursion]]
 
:<math>m_{k}=6m_{k-1}-m_{k-2}</math>
 
The ''k<sup>th</sup>'' triangular square ''N<sub>k</sub>'' is equal to the ''s<sup>th</sup>'' perfect square and the ''t<sup>th</sup>'' triangular number, such that