Problem Statement

The task is to write a program which generates such a number and prints a real representation of it. The code should be tested by calculating and printing the square root of 2, Napier's Constant, and Pi, using the following coefficients: For the square root of 2, use

a

0

= 1

{\displaystyle a_{0}=1}

then

a

N

= 2

{\displaystyle a_{N}=2}

.

b

N

{\displaystyle b_{N}}

is always

1

{\displaystyle 1}

. For Napier's Constant, use

a

0

= 2

{\displaystyle a_{0}=2}

, then

a

N

= N

{\displaystyle a_{N}=N}

.

b

1

= 1

{\displaystyle b_{1}=1}

then

b

N

= N − 1

{\displaystyle b_{N}=N-1}

. For Pi, use

a

0

= 3

{\displaystyle a_{0}=3}

then

a

N

= 6

{\displaystyle a_{N}=6}

.

b

N

= ( 2 N − 1

)

2

{\displaystyle b_{N}=(2N-1)^{2}}

.

Let's start with the solution:

[20k 0 200 si [li lbx r li lax + / li 1 - dsi 0<:]ds:x 0 lax +]sf

[[2q]s2[0<2 1]sa[R1]sb]sr                   # sqrt(2)
[[R2q]s2[d 0=2]sa[R1q]s1[d 1=1 1-]sb]se     # e
[[3q]s3[0=3 6]sa[2*1-d*]sb]sp               # pi

c lex lfx p
lrx lfx p
lpx lfx p