Equation for model generated by auto.arima

Thanks for the reply, Stephan. I don't want to use R to predict the future
value. I am looking to write the logic in a programming language like Java
to predict future values using the model coefficients generated by R. For
this, I would like to know what formula to use to estimate the value at any
time t. I looked at the forecast package but cannot find how to calculate
the value. Any help is appreciated.

Thanks

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