Wednesday, June 7, 2017

Pascal Triangle

Find the number on row a and position b of Pascals Triangle.
 Row 
and  position numbers begin from 0 

function pascalTriangle(a, b,result=1,i=0)=
 
    i<b?  pascalTriangle(a, b,(result * (a-i)/(i+1)),i+1 ) : result;
 
for(a=[0:10])
echo( [for(b=[0:a])pascalTriangle(a,b)] );
 
ECHO: [1]
ECHO: [1, 1]
ECHO: [1, 2, 1]
ECHO: [1, 3, 3, 1]
ECHO: [1, 4, 6, 4, 1]
ECHO: [1, 5, 10, 10, 5, 1]
ECHO: [1, 6, 15, 20, 15, 6, 1]
ECHO: [1, 7, 21, 35, 35, 21, 7, 1]
ECHO: [1, 8, 28, 56, 70, 56, 28, 8, 1]
ECHO: [1, 9, 36, 84, 126, 126, 84, 36, 9, 1]
ECHO: [1, 10, 45, 120, 210, 252, 210, 120, 45, 10, 1]



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