Sylvester's sequence: Difference between revisions

Added Sidef
(Added Arturo implementation)
(Added Sidef)
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Sum of the reciprocals of the first 10 elements:
0.999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999963
</pre>
 
=={{header|Sidef}}==
<lang ruby>func sylvester_sequence(n) {
1..n -> reduce({|a| a*(a-1) + 1 }, 2)
}
 
say "First 10 terms in Sylvester's sequence:"
10.of(sylvester_sequence).each_kv{|k,v| '%2s: %s' % (k,v) -> say }
 
say "\nSum of reciprocals of first 10 terms: "
say 10.of(sylvester_sequence).sum {|n| 1/n }.as_dec(230)</lang>
 
{{out}}
<pre>
First 10 terms in Sylvester's sequence:
0: 2
1: 3
2: 7
3: 43
4: 1807
5: 3263443
6: 10650056950807
7: 113423713055421844361000443
8: 12864938683278671740537145998360961546653259485195807
9: 165506647324519964198468195444439180017513152706377497841851388766535868639572406808911988131737645185443
 
Sum of reciprocals of first 10 terms:
0.99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999996349359079841301329356
</pre>
 
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