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Benedict Irwin edited section_Describing_the_Generating_Functions__.tex
about 8 years ago
Commit id: 823cd28542ea725c75493e527afd318662ce4266
deletions | additions
diff --git a/section_Describing_the_Generating_Functions__.tex b/section_Describing_the_Generating_Functions__.tex
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--- a/section_Describing_the_Generating_Functions__.tex
+++ b/section_Describing_the_Generating_Functions__.tex
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\end{equation}
1,12,4,2,4,6,2,6,4
We can use the following Mathematica code to get the coefficients of this generating function \begin{equation}
\mathrm{FF=Select[Range[3000],GCD[#1,2310]==1&];}\\
\mathrm{H[x\_]=x*Sum[aa[k]*x^k,{k,0,480}]/(1-x-x^480+x^481);}\\
\mathrm{L={};}\\ \mathrm{FF=Select[Range[3000],GCD[\#1,2310]==1\&];}\\
\mathrm{H[x\_]=x*Sum[aa[k]*x^k,{k,0,480}]/(1-x-x^{480}+x^{481});}\\
\mathrm{L=\{\};}\\
\mathrm{For[n=1, n<241,
n++,+}\\ n++,}\\
\;
\mathrm{QQ[n\_]=Limit[D[H[x],{x,n}]/Factorial[n],x->0]==FF[[n]];}\\ \mathrm{QQ[n\_]=Limit[D[H[x],{x,n}]/Factorial[n],x\rightarrow0]==FF[[n]];}\\
\; \mathrm{AppendTo[L,QQ[n]]}\\
\mathrm{]}\\
\mathrm{Solve[L]}