Formula Capable of Building Rows in Google Sheets?

Abstract: Generate all combinations of two lists into a dynamic vertical table in Google Sheets using ARRAYFORMULA and FLATTEN.

Created: 2026-10-21 by
Yes, you can build rows in Google Sheets using the QUERY function combined with TRANSPOSE to pivot your data from a wide format into a long list of rows. By structuring your source data with Property Names in one column and Routines in another, you can use array literals or helper columns to generate every possible combination. This approach allows you to dynamically expand your dataset without manually typing each row, ensuring that any updates to the source properties or routines automatically reflect in the final output table.

Understanding the Data Structure Challenge

The core difficulty here is transforming a Cartesian product of two lists into a single vertical column structure. If Column A contains property names like "Color" and "Size," and Column B contains routines like "Morning" and "Evening," a standard formula cannot simply "draw" new rows because spreadsheets are grid-based. Instead, we must treat the input ranges as arrays and compute their combinations mathematically. The most robust method involves creating a temporary array that pairs every item from the first list with every item from the second list, effectively simulating a loop.

This technique is particularly useful when managing dynamic inventories or scheduling systems where the number of available options changes frequently. Rather than maintaining a static list of 100+ rows, you maintain two small lists of 5-10 items, and let the formula handle the expansion. This reduces human error significantly, as adding a new property only requires updating the source cell, not inserting multiple new rows in the middle of a large dataset.

Extracting Multiple Occurrences of Text Given Strings in Google Sheets demonstrates how complex text manipulation can be handled within formulas, which is often a prerequisite step if your raw data requires cleaning before it can be combined effectively.

Method 1: Using QUERY and TRANSPOSE

The QUERY function is powerful for reshaping data, but it works best when fed a structured range. To build rows from two separate columns, you can use an array literal syntax to join them. Assume your Property Names are in A2:A10 and your Routines are in B2:B10. However, if you want every property paired with every routine (a full cross-product), you need to expand the ranges first.

A more direct approach for generating all combinations is to use the FLATTEN function alongside ARRAYFORMULA. This allows you to concatenate values across different dimensions. For example, if you have a list of properties in A2:A5 and routines in B2:B4, you can create a nested array structure. The formula below creates a matrix of combinations:

=ARRAYFORMULA(
  FLATTEN(
    IF(A2:A5="", "", 
      TRANSPOSE(
        SPLIT(REPT(A2:A5&"|", COUNTA(B2:B4)), "|")
      )
    )
  )
)

This formula repeats each property name by the count of routines, then splits them into individual cells. When flattened, this results in a single column of property names. You would repeat a similar process for the routines, ensuring they align correctly. While effective, this method can become cumbersome if you need both columns side-by-side in the final output.

Method 2: The FILTER and SEQUENCE Approach

A cleaner modern solution uses SEQUENCE and INDEX to map indices to values. This avoids string manipulation entirely. Suppose you have properties in A2:A5 and routines in B2:B4. You want to generate 20 rows (5 properties x 4 routines). You can create a sequence of numbers from 1 to 20 and use integer division and modulo operations to pick the correct value from each source list.

=ARRAYFORMULA(
  {
    INDEX(A2:A5, INT((ROW(INDIRECT("1:"&COUNTA(A2:A5)*COUNTA(B2:B4))-1))/COUNTA(B2:B4))+1),
    INDEX(B2:B4, MOD(ROW(INDIRECT("1:"&COUNTA(A2:A5)*COUNTA(B2:B4))-1), COUNTA(B2:B4))+1)
  }
)

This code generates two columns side-by-side. The first column cycles through the properties slowly, while the second column cycles through the routines quickly. This mimics the behavior of nested loops in programming languages like Python or JavaScript. It is highly efficient and does not rely on text splitting, making it less prone to errors if your data contains commas or special characters.

Troubleshooting: Three Consecutive Blank Cells Indicated as Zero in a Spreadsheet highlights the importance of handling empty cells correctly, which is critical when calculating counts for these sequence-based formulas to ensure the row generation stops at the right time.

Handling Dynamic Updates

One advantage of these formulaic approaches is that they react to changes in the source data. If you add a new routine to column B, the COUNTA function increases, and the SEQUENCE expands automatically. However, you must ensure that the source ranges do not include header rows in the calculation parts, or adjust the offsets accordingly. Using named ranges can also simplify these formulas, making them easier to read and maintain over time.

If your data grows significantly, consider using IMPORTRANGE if the source data resides in another sheet, keeping your main dashboard clean. Always test with small datasets first to verify the alignment of the generated rows against your expectations.

Frequently Asked Questions

Why does my formula return #N/A errors?

This usually happens when the index references exceed the number of available items in the source range. Ensure that your SEQUENCE length matches exactly the product of the counts of your two lists, and check that your INDEX offsets start at 1, not 0.

Can I use this method for more than two columns?

Yes, but the complexity increases exponentially. For three or more lists, you may need to nest additional SEQUENCE calculations or use a script via Google Apps Script, as pure formula solutions become difficult to manage and debug beyond two dimensions.

How do I remove duplicates from the generated rows?

If your source data contains duplicates, wrap your entire formula result in the UNIQUE function. For example, =UNIQUE({formula}) will filter out any identical rows produced by the combination logic, leaving only distinct entries.

Is there a limit to how many rows this can generate?

Google Sheets has a hard limit of 10 million cells per spreadsheet. Since this method multiplies the size of your inputs, be cautious when combining large lists. If your inputs result in millions of combinations, consider breaking the task into smaller chunks or using a database backend instead.

What if my source data has blank cells?

Blank cells can disrupt the COUNTA calculation, leading to misaligned rows. Use FILTER to exclude blanks from your source ranges before passing them to the combination formula, such as =FILTER(A2:A10, A2:A10<>""), to ensure consistent indexing.

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