Estimation and forecasting ARMA differences between Matlab and Stata

I have to forecast values from an AR(1) model. I have done this with stata using the following code :

arima cpi in 1/182, arima(1,0,0)
predict resultat if e(sample)==0

My sample is composed by 192 observations. I estimated my model with the 182 first observations and making a forecasting of the 10 last observations. The results are the following :

Results
.1826865
.2050786
.14859
.2937709
.2403078
.1609152
.0748219
.0395317
.1901138
.1172391

But when I try to make it in Matlab, I have totally differents results, with the lasts forecasting data that seems to converge to a specific value :

0.1969
0.1885
0.1848
0.1833
0.1826
0.1823
0.1822
0.1822
0.1821
0.1821

For doing this I have used the code below :

insample = DataY(1:181);
outsample = DataY(182:end);
model = estimate(arima(1,0,0), insample);
results = forecast(model,10, 'Y0', insample);

In addition, the constant of the Ar(1) is not the same in Matlab and Stata (0.104 for Matlab and 0.1826 for Stata). Are these differences normal ? And why the forecasted data tend to converge to 0.1821 in Matlab but don't converge to any particular value in Stata ? Am I making something wrong in Matlab ?

Thanks in advance for the reply.