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Manuals/calci/PASCALTRIANGLE
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Revision as of 04:52, 6 January 2014
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*Then from the 2nd row each number in the triangle is the sum of the two directly above it.
*Then from the 2nd row each number in the triangle is the sum of the two directly above it.
*The construction is related to the binomial coefficients by Pascal's rule is :
*The construction is related to the binomial coefficients by Pascal's rule is :
−
<math>(x+y)^n=\sum_{k=0}^n \binom{n}{k}x^{n-k} .y^k </math>. where <math> \
binom
{n}{k}</math> is the binomial coefficient.
+
<math>(x+y)^n=\sum_{k=0}^n \binom{n}{k}x^{n-k} .y^k </math>. where <math> \
dbinom
{n}{k}</math> is the binomial coefficient.
*This function will return the result as error when the r <math> \le 0</math>.
*This function will return the result as error when the r <math> \le 0</math>.
==Examples==
==Examples==
−
#
PASCALTRIANGLE(1)=1
+
*1.
PASCALTRIANGLE(1)=1
−
#
PASCALTRIANGLE(2)=1
+
*2.
PASCALTRIANGLE(2)=1
1 1
1 1
−
#
PASCALTRIANGLE(3)=1
+
*3.
PASCALTRIANGLE(3)=1
1 1
1 1
1 2 1
1 2 1
−
#
PASCALTRIANGLE(0)=NULL
+
*4.
PASCALTRIANGLE(0)=NULL
Devika
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