To confirm weather or not the program is doing it right (and I'm sure it is, unless you entered some wrong information) use the worksheets the IRS provides.
See IRS Publication 946 at https://www.irs.gov/pub/irs-pdf/p946.pdf and use the worksheet on page 36. For line 6 of the worksheet, table A-6 on page 71 applies. Note that for the first year, the depreciation is pro-rated based on the date placed in service. This is true even if placed in service on Jan 1st of the tax year, since the mid-month convention is used.
