EULER NUMBERS

EULER NUMBERS (LET)

Let Subcommand

Generate a sequence of Euler numbers.

For a description of Euler numbers and polynomials, enter the command:
HELP EN

EN is a library function for computing Euler numbers and polynomials. The EULER NUMBERS command can be used to generate a sequence of Euler numbers.

The Euler numbers overflow quickly. For single precision Dataplot, the overflow typically starts occurring at N=40. This may vary slightly depending on the platform.

LET <y> = EULER NUMBERS FOR I = <start> <inc> <stop>
where <start> is the starting row for the Euler numbers;
            <inc> is the increment for the Euler numbers;
            <stop> is the stopping row for the Euler numbers;
            <y> is a variable where the Euler numbers are saved.


Typically <start> and <inc> are 1 and <stop> is set to the number of Euler numbers to generate. If <start> and <inc> are not 1, then <y> will still contain <stop> elements, but the empty rows will be set to 0.

LET Y = EULER NUMBERS FOR I = 1 1 30

None

None

BINCDF	= Compute the binomial cumulative distribution function.
BINPDF	= Compute the binomial probability mass function.
BINPPF	= Compute the binomial percent point function.
BINOMIAL	= Compute the binomial coefficients.
EN	= Compute Euler number or polynomial.

"Computation of Special Functions", Shanjie Zhang and Jianming Jin, John Wiley and Sons, 1996, chapter 1.

Probability

1997/12

LET Y = EULER NUMBERS FOR I = 1 1 30
PRINT Y


Dataplot generated the following output:

 VARIABLES--Y       

   0.1000000E+01
   0.0000000E+00
  -0.1000000E+01
   0.0000000E+00
   0.5000000E+01
   0.0000000E+00
  -0.6100000E+02
   0.0000000E+00
   0.1385000E+04
   0.0000000E+00
  -0.5052100E+05
   0.0000000E+00
   0.2702765E+07
   0.0000000E+00
  -0.1993610E+09
   0.0000000E+00
   0.1939151E+11
   0.0000000E+00
  -0.2404880E+13
   0.0000000E+00
   0.3703712E+15
   0.0000000E+00
  -0.6934887E+17
   0.0000000E+00
   0.1551453E+20
   0.0000000E+00
  -0.4087072E+22
   0.0000000E+00
   0.1252260E+25
   0.0000000E+00