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