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Full Discussion: README: Factorial quick chart with sed & bc:
Top Forums Shell Programming and Scripting README: Factorial quick chart with sed & bc: Post 302766965 by rveri on Wednesday 6th of February 2013 02:08:07 AM
Old 02-06-2013
README: Factorial quick chart with sed & bc:
Hi all,
While doing some checks I found a kind of interesting arithmetic factorial chart with sed, sharing this may be simple but thought to share,



Code:
# n=20;for i in `seq $n`;do printf "`seq $i|xargs|sed 's/ /*/g'`= ";echo "`seq $i|xargs|sed 's/ /*/g'`"| bc;done
1= 1
1*2= 2
1*2*3= 6
1*2*3*4= 24
1*2*3*4*5= 120
1*2*3*4*5*6= 720
1*2*3*4*5*6*7= 5040
1*2*3*4*5*6*7*8= 40320
1*2*3*4*5*6*7*8*9= 362880
1*2*3*4*5*6*7*8*9*10= 3628800
1*2*3*4*5*6*7*8*9*10*11= 39916800
1*2*3*4*5*6*7*8*9*10*11*12= 479001600
1*2*3*4*5*6*7*8*9*10*11*12*13= 6227020800
1*2*3*4*5*6*7*8*9*10*11*12*13*14= 87178291200
1*2*3*4*5*6*7*8*9*10*11*12*13*14*15= 1307674368000
1*2*3*4*5*6*7*8*9*10*11*12*13*14*15*16= 20922789888000
1*2*3*4*5*6*7*8*9*10*11*12*13*14*15*16*17= 355687428096000
1*2*3*4*5*6*7*8*9*10*11*12*13*14*15*16*17*18= 6402373705728000
1*2*3*4*5*6*7*8*9*10*11*12*13*14*15*16*17*18*19= 121645100408832000
1*2*3*4*5*6*7*8*9*10*11*12*13*14*15*16*17*18*19*20= 2432902008176640000
# n=20;for i in `seq $n -1 1`;do printf "`seq $i|xargs|sed 's/ /*/g'`= ";echo "`seq $i|xargs|sed 's/ /*/g'`"| bc;done
1*2*3*4*5*6*7*8*9*10*11*12*13*14*15*16*17*18*19*20= 2432902008176640000
1*2*3*4*5*6*7*8*9*10*11*12*13*14*15*16*17*18*19= 121645100408832000
1*2*3*4*5*6*7*8*9*10*11*12*13*14*15*16*17*18= 6402373705728000
1*2*3*4*5*6*7*8*9*10*11*12*13*14*15*16*17= 355687428096000
1*2*3*4*5*6*7*8*9*10*11*12*13*14*15*16= 20922789888000
1*2*3*4*5*6*7*8*9*10*11*12*13*14*15= 1307674368000
1*2*3*4*5*6*7*8*9*10*11*12*13*14= 87178291200
1*2*3*4*5*6*7*8*9*10*11*12*13= 6227020800
1*2*3*4*5*6*7*8*9*10*11*12= 479001600
1*2*3*4*5*6*7*8*9*10*11= 39916800
1*2*3*4*5*6*7*8*9*10= 3628800
1*2*3*4*5*6*7*8*9= 362880
1*2*3*4*5*6*7*8= 40320
1*2*3*4*5*6*7= 5040
1*2*3*4*5*6= 720
1*2*3*4*5= 120
1*2*3*4= 24
1*2*3= 6
1*2= 2
1= 1
#

Just replace the value of n , to the desired factorial and it ll construct the chart. Below is an example of factorial 20 's chart:
Code:
n=20;for i in `seq $n`;do printf "`seq $i|xargs|sed 's/ /*/g'`= ";echo "`seq $i|xargs|sed 's/ /*/g'`"| bc;done


Enjoy!. Have fun!.
Last edited by rveri; 02-06-2013 at 03:13 AM..
These 2 Users Gave Thanks to rveri For This Post:
Neo Scrutinizer
 

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LEARN ABOUT OSX

seq

SEQ(1)							    BSD General Commands Manual 						    SEQ(1)

NAME

     seq -- print sequences of numbers

SYNOPSIS

     seq [-w] [-f format] [-s string] [-t string] [first [incr]] last

DESCRIPTION

     The seq utility prints a sequence of numbers, one per line (default), from first (default 1), to near last as possible, in increments of incr
     (default 1).  When first is larger than last the default incr is -1.

     All numbers are interpreted as floating point.

     Normally integer values are printed as decimal integers.

     The seq utility accepts the following options:

     -f format	   Use a printf(3) style format to print each number.  Only the E, e, f, G, g, and % conversion characters are valid, along with
		   any optional flags and an optional numeric minimum field width or precision.  The format can contain character escape sequences
		   in backslash notation as defined in ANSI X3.159-1989 (``ANSI C89'').  The default is %g.

     -s string	   Use string to separate numbers.  The string can contain character escape sequences in backslash notation as defined in ANSI
		   X3.159-1989 (``ANSI C89'').	The default is 
.

     -t string	   Use string to terminate sequence of numbers.  The string can contain character escape sequences in backslash notation as
		   defined in ANSI X3.159-1989 (``ANSI C89'').	This option is useful when the default separator does not contain a 
.

     -w 	   Equalize the widths of all numbers by padding with zeros as necessary.  This option has no effect with the -f option.  If any
		   sequence numbers will be printed in exponential notation, the default conversion is changed to %e.

     The seq utility exits 0 on success and non-zero if an error occurs.

EXAMPLES

	   # seq 1 3
	   1
	   2
	   3

	   # seq 3 1
	   3
	   2
	   1

	   # seq -w 0 .05 .1
	   0.00
	   0.05
	   0.10

SEE ALSO

     jot(1), printf(1), printf(3)

HISTORY

     The seq command first appeared in Plan 9 from Bell Labs.  A seq command appeared in NetBSD 3.0, and ported to FreeBSD 9.0.  This command was
     based on the command of the same name in Plan 9 from Bell Labs and the GNU core utilities.  The GNU seq command first appeared in the 1.13
     shell utilities release.

BUGS

     The -w option does not handle the transition from pure floating point to exponent representation very well.  The seq command is not bug for
     bug compatible with the Plan 9 from Bell Labs or GNU versions of seq.

BSD
								 February 19, 2010							       BSD
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