Author: Oscar Cronquist Article last updated on January 21, 2023 The array formula in cell D3 returns the the length of longest consecutive sequence of a value in column A.  Cell D4 returns the value of the longest consecutive sequence in column A.

Cell F3 returns the length of the shortest consecutive sequence of a value in column A and cell F4 returns the value of the smallest consecutive sequence in column A.

## 1. Length of the most repeated grouped value The array formula in cell D3 calculates how many cells contain the same given value repeated. It returns four in cell D3 because value "B" is repeated four times and is adjacent to each other in cell range A11:A14.

Array formula in cell D3:

=MAX(FREQUENCY(IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, "", MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25))), IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25)) ,""))+1)

### How to enter an array formula

1. Select cell
2. Copy/Paste the formula to the formula bar
3. Press and hold CTRL + SHIFT simultaneously
4. Press Enter once
5. Release all keys

Update 3-18-2021, Excel 365 formula:

=LET(z, A3:A26, y, A2:A25, x, SEQUENCE(ROWS(y)), MAX(FREQUENCY(IF(y<>z, "", x), IF(y<>z, x, ""))+1)

### Explaining formula in cell D3

#### Step 1 - Compare values in cell ranges

The less than and the greater than characters combined checks if a value is not equal to another value, it returns TRUE if not equal and FALSE if equal.

The second cell range is offset by 1, this makes the comparison check the following value which makes it easy to calculate the number of repeated values in a column.

\$A\$2:\$A\$25<>\$A\$3:\$A\$26

becomes

({"B"; "B"; "C"; "C"; "B"; "B"; "C"; "B"; "C"; "B"; "B"; "B"; "B"; "C"; "B"; "A"; "C"; "A"; "C"; "C"; "A"; "C"; "C"; "C"}<>{"B"; "C"; "C"; "B"; "B"; "C"; "B"; "C"; "B"; "B"; "B"; "B"; "C"; "B"; "A"; "C"; "A"; "C"; "C"; "A"; "C"; "C"; "C"; 0}

and returns

{FALSE; TRUE; FALSE; TRUE; FALSE; TRUE; TRUE; TRUE; TRUE; FALSE; FALSE; FALSE; TRUE; TRUE; TRUE; TRUE; TRUE; TRUE; FALSE; TRUE; TRUE; FALSE; FALSE; TRUE}

#### Step 2 - Replace TRUE with corresponding row number

The IF function returns one value if the logical test is TRUE and another value if the logical test is FALSE.

IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, "", MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25)))

becomes

IF({FALSE; TRUE; FALSE; TRUE; FALSE; TRUE; TRUE; TRUE; TRUE; FALSE; FALSE; FALSE; TRUE; TRUE; TRUE; TRUE; TRUE; TRUE; FALSE; TRUE; TRUE; FALSE; FALSE; TRUE}, "", MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25)))

becomes

IF({FALSE; TRUE; FALSE; TRUE; FALSE; TRUE; TRUE; TRUE; TRUE; FALSE; FALSE; FALSE; TRUE; TRUE; TRUE; TRUE; TRUE; TRUE; FALSE; TRUE; TRUE; FALSE; FALSE; TRUE}, "", {1; 2; 3; 4; 5; 6; 7; 8; 9; 10; 11; 12; 13; 14; 15; 16; 17; 18; 19; 20; 21; 22; 23; 24})

and returns

{1; ""; 3; ""; 5; ""; ""; ""; ""; 10; 11; 12; ""; ""; ""; ""; ""; ""; 19; ""; ""; 22; 23; ""}

#### Step 3 - Calculate frequency

The FREQUENCY function calculates how often values occur within a range of values and returns a vertical array of numbers. It returns an array that is one more item larger than the bins_array.

FREQUENCY(IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, "", MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25))), IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$25, MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25)) , ""))

becomes

FREQUENCY({1; ""; 3; ""; 5; ""; ""; ""; ""; 10; 11; 12; ""; ""; ""; ""; ""; ""; 19; ""; ""; 22; 23; ""}, {""; 2; ""; 4; ""; 6; 7; 8; 9; ""; ""; ""; 13; 14; 15; 16; 17; 18; ""; 20; 21; ""; ""; 24})

and returns

{1; 1; 1; 0; 0; 0; 3; 0; 0; 0; 0; 0; 1; 0; 2; 0}

#### Step 4 - Calculate max number in the array

The MAX function returns the largest number in a cell range or array.

MAX(FREQUENCY(IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, "", MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25))), IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$25, MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25)) ,""))+1)

becomes

MAX({1; 1; 1; 0; 0; 0; 3; 0; 0; 0; 0; 0; 1; 0; 2; 0}+1)

becomes

MAX({2; 2; 2; 1; 1; 1; 4; 1; 1; 1; 1; 1; 2; 1; 3; 1})

and returns 4.

## 2. Extract most repeated grouped value The image above demonstrates a formula in cell D4 that extracts the most repeated adjacent value in column A.

Array formula in cell D4:

=INDEX(\$A\$2:\$A\$25, SMALL(IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25)), ""), MATCH(MAX(FREQUENCY(IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, "", MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25))), IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25)), ""))+1), FREQUENCY(IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, "", MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25))), IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25)), ""))+1, 0)))

Update 3-18-2021, Excel 365 formula in cell D4:

=LET(x, IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, SEQUENCE(ROWS(A2:A25)), ""), y, IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, "", SEQUENCE(ROWS(A2:A25))), INDEX(\$A\$2:\$A\$25, SMALL(x, MATCH(MAX(FREQUENCY(y, x)+1), FREQUENCY(y, x)+1, 0))))

### Explaining formula in cell D4

#### Step 1 - Compare cell ranges and return corresponding row number if TRUE

The IF function returns one value if the logical test is TRUE and another value if the logical test is FALSE.

IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25)), "")

becomes

IF({FALSE; TRUE; FALSE; TRUE; FALSE; TRUE; TRUE; TRUE; TRUE; FALSE; FALSE; FALSE; TRUE; TRUE; TRUE; TRUE; TRUE; TRUE; FALSE; TRUE; TRUE; FALSE; FALSE; TRUE}, MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25)), "")

becomes

IF({FALSE; TRUE; FALSE; TRUE; FALSE; TRUE; TRUE; TRUE; TRUE; FALSE; FALSE; FALSE; TRUE; TRUE; TRUE; TRUE; TRUE; TRUE; FALSE; TRUE; TRUE; FALSE; FALSE; TRUE}, {1; 2; 3; 4; 5; 6; 7; 8; 9; 10; 11; 12; 13; 14; 15; 16; 17; 18; 19; 20; 21; 22; 23; 24}, "")

and returns

{""; 2; ""; 4; ""; 6; 7; 8; 9; ""; ""; ""; 13; 14; 15; 16; 17; 18; ""; 20; 21; ""; ""; 24}

#### Step 2 - Compare cell ranges and return corresponding row number if FALSE

IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, "", MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25)))

becomes

IF({FALSE; TRUE; FALSE; TRUE; FALSE; TRUE; TRUE; TRUE; TRUE; FALSE; FALSE; FALSE; TRUE; TRUE; TRUE; TRUE; TRUE; TRUE; FALSE; TRUE; TRUE; FALSE; FALSE; TRUE}, "", MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25)))

becomes

IF({FALSE; TRUE; FALSE; TRUE; FALSE; TRUE; TRUE; TRUE; TRUE; FALSE; FALSE; FALSE; TRUE; TRUE; TRUE; TRUE; TRUE; TRUE; FALSE; TRUE; TRUE; FALSE; FALSE; TRUE}, "", {1; 2; 3; 4; 5; 6; 7; 8; 9; 10; 11; 12; 13; 14; 15; 16; 17; 18; 19; 20; 21; 22; 23; 24})

and returns

{1; ""; 3; ""; 5; ""; ""; ""; ""; 10; 11; 12; ""; ""; ""; ""; ""; ""; 19; ""; ""; 22; 23; ""}

#### Step 4 - Calculate the frequency of repeated values in column A

The FREQUENCY function calculates how often values occur within a range of values and returns a vertical array of numbers. It returns an array that is one more item larger than the bins_array.

FREQUENCY(IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, "", MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25))), IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25)), ""))+1

becomes

FREQUENCY({1; ""; 3; ""; 5; ""; ""; ""; ""; 10; 11; 12; ""; ""; ""; ""; ""; ""; 19; ""; ""; 22; 23; ""}, {""; 2; ""; 4; ""; 6; 7; 8; 9; ""; ""; ""; 13; 14; 15; 16; 17; 18; ""; 20; 21; ""; ""; 24})+1

becomes

{1; 1; 1; 0; 0; 0; 3; 0; 0; 0; 0; 0; 1; 0; 2; 0} + 1

and returns

{2; 2; 2; 1; 1; 1; 4; 1; 1; 1; 1; 1; 2; 1; 3; 1}

#### Step 5 - Calculate largest value in array

The MAX function returns the largest number in a cell range or array.

MAX(FREQUENCY(y, x)+1)

becomes

MAX({2; 2; 2; 1; 1; 1; 4; 1; 1; 1; 1; 1; 2; 1; 3; 1})

and returns 4.

#### Step 6 - Find the position in array

The MATCH function returns a number representing the relative position af a given value in a cell range or array.

MATCH(MAX(FREQUENCY(IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25)),""), IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25)), ""))+1), FREQUENCY(IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25)),""), IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25)), ""))+1, 0)

becomes

MATCH(4, {2; 2; 2; 1; 1; 1; 4; 1; 1; 1; 1; 1; 2; 1; 3; 1}, 0)

and returns 7.

#### Step 7 - Calculate k-th smallest value

The SMALL function returns the k-th smallest number from a cell range or array.

SMALL(IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25)), ""), MATCH(MAX(FREQUENCY(IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25)),""), IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25)), ""))+1), FREQUENCY(IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25)),""), IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25)), ""))+1, 0))

becomes

SMALL({""; 2; ""; 4; ""; 6; 7; 8; 9; ""; ""; ""; 13; 14; 15; 16; 17; 18; ""; 20; 21; ""; ""; 24}, 7)

and returns 13.

#### Step 8 - Return value

The INDEX function returns a value from a given cell range or array based on a row and column number.

INDEX(\$A\$2:\$A\$25, SMALL(IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25)), ""), MATCH(MAX(FREQUENCY(IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, "", MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25))), IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25)), ""))+1), FREQUENCY(IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, "", MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25))), IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25)), ""))+1, 0)))

becomes

INDEX(\$A\$2:\$A\$25, 13)

and returns "B" in cell D4.

## 3. Length of the shortest consecutive sequence of a value Array formula in cell F3:

=MIN(FREQUENCY(IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, "", MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25))), IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$25, MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25)) ,""))+1)

## 4. Value of the shortest consecutive sequence Array formula in cell F4:

=INDEX(\$A\$2:\$A\$25, SMALL(IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25)), ""), MATCH(MIN(FREQUENCY(IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, "", MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25))), IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25)), ""))+1), FREQUENCY(IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, "", MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25))), IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25)), ""))+1, 0)))

## 5. Length of second longest consecutive sequence of a value Array formula in cell D7:

=LARGE(FREQUENCY(IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, "", MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25))), IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$25, MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25)), ""))+1, 2)

## 6. Value of the second-longest consecutive sequence Array formula in cell D8:

=INDEX(\$A\$2:\$A\$25, SMALL(IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25)), ""), MATCH(LARGE(FREQUENCY(IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, "", MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25))), IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25)), ""))+1, 2), FREQUENCY(IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, "", MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25))), IF(\$A\$2:\$A\$25<>\$A\$3:\$A\$26, MATCH(ROW(\$A\$2:\$A\$25), ROW(\$A\$2:\$A\$25)), ""))+1, 0)))

If you are interested in learning and constructing array formulas, check out my Advanced excel course. 