Apéry's constant: Difference between revisions
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1.2020569031595942853997381615114499907649862923404988817922715553418382057863130901864558736093352581 |
1.2020569031595942853997381615114499907649862923404988817922715553418382057863130901864558736093352581 |
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=={{header|Sidef}}== |
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<syntaxhighlight lang="ruby">local Num!PREC = 4*101 |
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say "Actual value to 100 decimal places:\n#{zeta(3)}" |
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say "\nFirst 1000 terms of ζ(3) truncated to 100 decimal places. (accurate to 6 decimal places):"; |
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say sum(1..1000, {|k| 1/k**3 }).as_float(101) |
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say "\nFirst 158 terms of Markov / Apéry representation truncated to 100 decimal places:"; |
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say ((5/2)*sum(1..158, {|k| |
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(-1)**(k-1) * (k!**2 / ((2*k)! * k**3)) |
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}) -> as_float(101)) |
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say "\nFirst 20 terms of Wedeniwski representation truncated to 100 decimal places:"; |
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say ((1/24)*sum(^20, {|k| |
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(-1)**k * (2*k + 1)!**3 * (2*k)!**3 * k!**3 * ( |
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126392*k**5 + 412708*k**4 + 531578*k**3 + 336367*k**2 + 104000*k + 12463 |
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) / ((3*k + 2)! * (4*k + 3)!**3) |
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}) -> as_float(101))</syntaxhighlight> |
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{{out}} |
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<pre> |
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Actual value to 100 decimal places: |
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1.2020569031595942853997381615114499907649862923404988817922715553418382057863130901864558736093352581 |
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First 1000 terms of ζ(3) truncated to 100 decimal places. (accurate to 6 decimal places): |
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1.2020564036593442854830714115115999903483212709031775135036540966118572571921400836130084123260473112 |
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First 158 terms of Markov / Apéry representation truncated to 100 decimal places: |
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1.2020569031595942853997381615114499907649862923404988817922715553418382057863130901864558736093352581 |
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First 20 terms of Wedeniwski representation truncated to 100 decimal places: |
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1.2020569031595942853997381615114499907649862923404988817922715553418382057863130901864558736093352581 |
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</pre> |
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=={{header|Wren}}== |
=={{header|Wren}}== |