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Ingy döt Net 2015-02-20 09:02:09 -05:00
parent 00a190b0a6
commit 91df62d461
5697 changed files with 93386 additions and 804 deletions
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14
Task/Paraffins/Mathematica/paraffins.math Normal file
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G000602[n_] :=
Block[{x},
x*CycleIndexPolynomial[SymmetricGroup[4],
Table[ComposeSeries[#, x^i + O[x]^(n + 1)], {i, 4}]] -
CycleIndexPolynomial[SymmetricGroup[2],
Table[ComposeSeries[# - 1, x^i + O[x]^(n + 1)], {i, 2}]] +
ComposeSeries[#, x^2 + O[x]^(n + 1)] &@
Fold[Series[
1 + x/6 (#1^3 + 3 #1 ComposeSeries[#1, x^2 + O[x]^#2] +
2 ComposeSeries[#1, x^3 + O[x]^#2]), {x, 0, #2}] &,
1 + O[x], Range[n + 1]]];
A000602[n_] := SeriesCoefficient[G000602[n], n];
A000602List[n_] := CoefficientList[G000602[n], x];
Grid@Transpose@{Range[0, 200], A000602List@200}