Apéry's constant: Difference between revisions
Content added Content deleted
(Add Mathematica/Wolfram Language implementation) |
(→{{header|Mathematica}}/{{header|Wolfram Language}}: Add newline in Print) |
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ClearAll["Global`*"]; |
ClearAll["Global`*"]; |
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TruancateTo100DecimalDigits = N[#, 100 + 1] &; |
TruancateTo100DecimalDigits = N[#, 100 + 1] &; |
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MyShowApéryConstant[expr_, caption_String] := |
MyShowApéryConstant[expr_, caption_String] := |
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Print[caption <> |
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ToString@Activate@TruancateTo100DecimalDigits[expr]]; |
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MyShowApéryConstant[ |
MyShowApéryConstant[ |
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Zeta[3], "Apéry's constant via Mathematica's Zeta:"] |
Zeta[3], "Apéry's constant via Mathematica's Zeta:\n"] |
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MyShowApéryConstant[ |
MyShowApéryConstant[ |
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Sum[1/(k^3), {k, 1, |
Sum[1/(k^3), {k, 1, |
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1000}], "Apéry's constant via reciprocal cubes:\n"] |
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MyShowApéryConstant[(5/2* |
MyShowApéryConstant[(5/2* |
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Sum[(-1)^(k - 1)*(k!)^2/((2 k)!*k^3), {k, 1, |
Sum[(-1)^(k - 1)*(k!)^2/((2 k)!*k^3), {k, 1, |
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158}]), "Apéry's constant via Markov's summation:"] |
158}]), "Apéry's constant via Markov's summation:\n"] |
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MyShowApéryConstant[ |
MyShowApéryConstant[ |
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1/24*Sum[(-1)^ |
1/24*Sum[(-1)^ |
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531578 k^3 + 336367 k^2 + 104000 k + |
531578 k^3 + 336367 k^2 + 104000 k + |
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12463)/(((3 k + 2)!)*((4 k + 3)!)^3), {k, 0, |
12463)/(((3 k + 2)!)*((4 k + 3)!)^3), {k, 0, |
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19}], "Apéry's constant via Wedeniwski's summation:"] |
19}], "Apéry's constant via Wedeniwski's summation:\n"] |
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</syntaxhighlight> |
</syntaxhighlight> |
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{{out}} |
{{out}} |
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1.2020569031595942853997381615114499907649862923404988817922715553418382057863130901864558736093352581 |
1.2020569031595942853997381615114499907649862923404988817922715553418382057863130901864558736093352581 |
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</pre> |
</pre> |
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=={{header|Nim}}== |
=={{header|Nim}}== |
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