The AICs do not seem right to me either. Unless I am missing something, it
appears that the formula:

AIC= -2x logLik -2k

is being applied, rather than:

AIC= -2x logLik +2k

Meaning models with fewer degrees of freedom are being penalised.
So in your example I make the degrees of freedom
9.61 +2*2= 13.61 for Integrated logLik
23.78 +2*13.7 for Penalised logLik.

Someone please let me know if I am mistaken here!
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