File:EulerianNumberPlot.svg
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Summary
| Description |
English: I created this in Mathematica. Export[File[
FileNameJoin[{$HomeDirectory, "Pictures", "EulerianNumberPlot"}]],
ComplexPlot3D[EulerianNumber[z, 5], {z, -2 - 2 I, 2 + 2 I},
PlotLegends -> Automatic, ImageSize -> Full], "SVG"]. The function EulerianNumber has the definition.
EulerianNumber//ClearAll SetAttributes[EulerianNumber,{Listable,NumericFunction}] EulerianNumber::usage="EulerianNumber[n, k] gives the number of permutations of the numbers 1 to n in which exactly k elements are greater than the previous element (permutations with k \"ascents\")"; (*This definition is based on the ResourceFunction EulerianNumber from https://resources.wolframcloud.com/FunctionRepository/resources/EulerianNumber/?i=EulerianNumber&searchapi=https%3A%2F%2Fresources.wolframcloud.com%2FFunctionRepository%2Fsearch*) EulerianNumber[n_,k_]:=Module[{x},SeriesCoefficient[(1-x)^(n+1) PolyLog[-n,x],{x,0,k}]] |
| Date | |
| Source | Own work |
| Author | WalkingRadiance |
Licensing
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 19:39, 3 August 2023 | 1,338 × 1,251 (2.85 MB) | WalkingRadiance | Uploaded own work with UploadWizard |
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