CRM for Outlook 2013 support for Office 2016 was introduced recently in version 6.1.4.173.  This is a Critical Update for that will need to be applied on a CRM for Outlook client that already has the update for Microsoft Dynamics CRM 2013 Service Pack 1 Update Rollup 4 installed which can be found here.

In addition to introducing support for Office 2016 the issue during installation of CRM for Outlook 2013 is now resolved as well.  If you encounter the error "The installation has failed. Setup cannot continue because Microsoft Office Outlook is not installed" please follow the steps below to resolve this issue:

Step 1: Install the Dynamics CRM for Outlook 2013 client from https://www.microsoft.com/en-us/download/details.aspx?id=40344

Step 2: Install Dynamics CRM 2013 Service Pack 1 for CRM for Outlook from https://www.microsoft.com/en-us/download/details.aspx?id=43109

Step 3: Install Dynamics CRM 2013 Service Pack 1 Update Rollup 4 for CRM for Outlook from https://www.microsoft.com/en-us/download/details.aspx?id=51185

Step 4: Install the Critical Update for Dynamics CRM 2013 Service Pack 1 Update Rollup 4 for CRM for Outlook from http://www.microsoft.com/downloads/details.aspx?FamilyID=4d0339a2-4181-4c92-81d8-9a3f4cdc57fd