Pile Reaction By Method Of deformation

Attention Geotechnical / Civil / Structural Engineers,

Please see attached a copy of the Mathcad file I'm working on. The diagram is based on the author of a paper using different software to analyze a pile pile group. I tried the same problem using the method of deformation, but I was getting the wrong answer compared to what the author's answer using the different packages. Can anybody tell me what I was missing in the equations or provide the equations. The author's answer is at the end of the worksheet.

Regards,

Moses