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arrayformula sum in Google spreadsheet

How do you arrayformula() a sum() such as:

=sum(A1:H1)

I need to go down 1000 rows.

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Another option:

=ArrayFormula(SUMIF(IF(COLUMN(A1:H1),ROW(A1:A1000)),ROW(A1:A1000),A1:H1000))

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