SUM and INDEX combination formula

I have this formula that works in Excel, but when I try to rebuild it in Smartsheet, I'm getting an error that it's unparseable. How can I do this in Smartsheet:

=SUM(C3:INDEX(C3:N3,$C$2))

I've gotten here in Smartsheet, but it doesn't work:

=SUM(January@row:INDEX(January@row:December@row, 1, $January$1))


I would like to add up the values in the purple row, starting in January and moving to the right as many boxes as are designated in the cell that is highlighted in blue (in this example, it should give me the sum of January, February and March).


Thank you for any ideas!

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