Magic's 11 
 
 
Magic's 11's Table
Row #
Formula
=
Multi-Digit Numbers
Actual Row
Row 0
11 to the power 0
=
1
1
Row 1
11 to the power 1
=
11
1 1
Row 2
11 to the power 2
=
121
1 2 1
Row 3
11 to the power 3
=
1331
1 3 3 1
Row 4
11 to the power 4
=
14641
1 4 6 4 1
Row 5
11 to the power 5
=
161051
1 5 10 10 5 1
Row 6
11 to the power 6
=
1771561
1 6 15 20 15 6 1
Row 7
11 to the power 7
=
19487171
1 7 21 35 35 21 7 1
Row 8
11 to the power 8
=
214358881
1 8 28 56 70 56 28 8 1
 

The above table show how is 11 related to Pascal's Triangle.
If a row is made into a single number by using each element as a digit if the number, the number is equal to 11 to n-th power
  or 11n when n is the number of the row the multi-digit number was taken from. That means , for example, when you take
 row 6 , you take the actual row 1 6 15 20 15 6 1 , you ignore the first and the last three digits and adding the 2nd digit + 3rd
   digit ( 6 + 1 ), 4th + 5th ( 5 + 2 ), 6th + 7th ( 0 + 1 ) and so on, and finally , you will get 1771561 , it is just equal to 11 to the power 6 .
 


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 Opdateret d. 26/3/00