Sylvester's sequence: Difference between revisions
Added Go
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Or, in other words, the sum is <code>2739245…392080'''5/'''2739245…392080'''6'''</code>.
=={{header|Go}}==
{{trans|Wren}}
<lang go>package main
import (
"fmt"
"math/big"
)
func main() {
one := big.NewInt(1)
two := big.NewInt(2)
next := new(big.Int)
sylvester := []*big.Int{two}
prod := new(big.Int).Set(two)
count := 1
for count < 10 {
next.Add(prod, one)
sylvester = append(sylvester, new(big.Int).Set(next))
count++
prod.Mul(prod, next)
}
fmt.Println("The first 10 terms in the Sylvester sequence are:")
for i := 0; i < 10; i++ {
fmt.Println(sylvester[i])
}
sumRecip := new(big.Rat)
for _, s := range sylvester {
sumRecip.Add(sumRecip, new(big.Rat).SetFrac(one, s))
}
fmt.Println("\nThe sum of their reciprocals as a rational number is:")
fmt.Println(sumRecip)
fmt.Println("\nThe sum of their reciprocals as a decimal number (to 211 places) is:")
fmt.Println(sumRecip.FloatString(211))
}</lang>
{{out}}
<pre>
The first 10 terms in the Sylvester sequence are:
2
3
7
43
1807
3263443
10650056950807
113423713055421844361000443
12864938683278671740537145998360961546653259485195807
165506647324519964198468195444439180017513152706377497841851388766535868639572406808911988131737645185443
The sum of their reciprocals as a rational number is:
27392450308603031423410234291674686281194364367580914627947367941608692026226993634332118404582438634929548737283992369758487974306317730580753883429460344956410077034761330476016739454649828385541500213920805/27392450308603031423410234291674686281194364367580914627947367941608692026226993634332118404582438634929548737283992369758487974306317730580753883429460344956410077034761330476016739454649828385541500213920806
The sum of their reciprocals as a decimal number (to 211 places) is:
0.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999635
</pre>
=={{header|Haskell}}==
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