Sum By Condition For Each Month

I have a spreadsheet for to control different types of personnel expenses. For every person there are 17 rows each column. The spreadsheet itself contains a named range called "database" which in turn contains 14 columns. The second column contains the name of the expense, the first column the number of the expense (going from 1 to 17), the last twelve columns show the monthly expenses. Every month or so two or three new persons are added to the spreadsheet, and for all the others the costs are updated in the respective column.
I would like to have the monthly total for each expense type below the dynamic range. I already tried using the SUMIF- Function and it yielded good results, but unfortunately, it stops summing after the 1125 row. Reason unknown. Now I've been trying to get the DSUM()-Function working, but no luck here either. I've read the thread "Add or Sum every nth cell" and changed it slightly, so that the DSum() would compare the number of expense to a given value (1, 2, 3, etc.), and if TRUE, sum it up. Let's assume the named range starts in A2 already and the criteria are in E1:E2.

Example: Total for cost type 1 for October (3rd column)
=DBSUM(database;3;E1-E2)
Criteria:
=A2=1
The formula is acting weird and giving me the wrong sum. It doesn't change when I change the cost amount either. Ideally, I would like to have a formula that sums every cell, where the cost type =x, or every cell where the rownumber according to the named range =x (then using the MOD and ROW functions).