Difference between revisions of "Manuals/calci/LUCAS"

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(Created page with "<div id="6SpaceContent" class="zcontent" align="left"> '''LUCAS'''(SomeNumber) where '''SomeNumber '''is any real number </div> ---- <div id="1SpaceContent" cla...")
 
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<div style="font-size:30px">'''LUCAS(n)'''</div><br/>
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*<math>n </math> is the number indicating the position.
  
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'''LUCAS'''(SomeNumber)
 
  
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where
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==Description==
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*This function gives the Lucas series of the numbers.
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*Lucas numbers are similar to the Fibonacci numberss.
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*It is generated by added the last two numbers in the series.
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*In <math>LUCAS(n), n </math> is the numbers position, which is used to displaying the numbers in the given range.
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*The difference between Lucas and Fibonacci numbers are with the first two terms L0=2 and L1=1, but F0=0 and F1=1.
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*The Lucas numbers  are defined by: <math>Ln=\begin{cases} 2          if  n=0
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                                                          1          if  n=1
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                                                          Ln-1+Ln-2  if  n>1
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                                              \end{cases}
  
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'''SomeNumber '''is any real number
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*The sequence of Lucas numbers is  2,1,3,4,7, 11,18,29,......
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*The relation between Lucas and Fibonacci numbers are: Ln=Fn+2Fn-1 and Fn=Ln-1+Ln+1\5 
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where L is the Lucas series with <math> L(n)</math> is the nth Lucas number and <math> Fn </math> is the nth Fibonacci number.
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    This function will give the result as error when  n is nonnumeric or n < 0
  
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</div>
 
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----
 
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<div id="1SpaceContent" class="zcontent" align="left">
 
  
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Calci returns the LUCAS series upto the given number, SomeNumber.
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==Examples==
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#=LUCAS(5)= 2  1  3    4  7    11
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#=LUCAS(0)= 2
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#=LUCAS(1)= 2  1
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#=LUCAS(3)= 2  1    3    4 
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#=LUCAS(-1)=Null
  
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</div>
 
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----
 
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<div id="7SpaceContent" class="zcontent" align="left">
 
  
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LUCAS returns NaN if SomeNumber is not a real number
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==See Also==
  
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</div>
 
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----
 
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<div id="12SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="left">
 
  
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LUCAS
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==References==
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</div></div>
 
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Lets see an example in (Column2Row1)
 
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<nowiki>=LUCAS(Column1Row1)</nowiki>
 
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Returns 2,1,3,4  for LUCAS(3)
 
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</div>
 
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<div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Syntax </div><div class="ZEditBox"><center></center></div></div>
 
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<div id="4SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Remarks </div></div>
 
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<div id="3SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Examples </div></div>
 
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<div id="11SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Description </div></div>
 
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|+ Default Calci
 
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<div id="2Space_Handle" class="zhandles" title="Click and Drag to resize CALCI Column/Row/Cell. It is EZ!"></div><div id="2Space_Copy" class="zhandles" title="Click and Drag over to AutoFill other cells."></div><div id="2Space_Drag" class="zhandles" title="Click and Drag to Move/Copy Area.">[[Image:copy-cube.gif]]  </div>
 
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{|
 
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[[Image:bold.gif]]
 
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Revision as of 03:09, 1 February 2014

LUCAS(n)


  • is the number indicating the position.


Description

  • This function gives the Lucas series of the numbers.
  • Lucas numbers are similar to the Fibonacci numberss.
  • It is generated by added the last two numbers in the series.
  • In is the numbers position, which is used to displaying the numbers in the given range.
  • The difference between Lucas and Fibonacci numbers are with the first two terms L0=2 and L1=1, but F0=0 and F1=1.
  • The Lucas numbers are defined by: Failed to parse (syntax error): {\displaystyle Ln=\begin{cases} 2 if n=0 1 if n=1 Ln-1+Ln-2 if n>1 \end{cases} *The sequence of Lucas numbers is 2,1,3,4,7, 11,18,29,...... *The relation between Lucas and Fibonacci numbers are: Ln=Fn+2Fn-1 and Fn=Ln-1+Ln+1\5 where L is the Lucas series with <math> L(n)} is the nth Lucas number and is the nth Fibonacci number.
   This function will give the result as error when  n is nonnumeric or n < 0


Examples

  1. =LUCAS(5)= 2 1 3 4 7 11
  2. =LUCAS(0)= 2
  3. =LUCAS(1)= 2 1
  4. =LUCAS(3)= 2 1 3 4
  5. =LUCAS(-1)=Null


See Also

References

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