Function Phantom / Algebra
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Function Phantom / Algebra
@MSKID_00
26w ago
[math]I(n)={n \choose 4}+\frac{-5n^3+45n^2-70n+24}{24}\cdot\delta_2(n)[/math]
[math]- \frac{3n}{2}\cdot\delta_4(n)+\frac{-45n^2+262n}{6}\cdot\delta_6(n)+42\delta_{12}(n)[/math]
[math]+ 60n\cdot\delta_{18}(n+35n\cdot\delta_{24}(n)-38n\cdot\delta_{30}(n)[/math]
[math]- 82n\cdot\delta_{42}(n)-330n\cdot\delta_{60}(n)-144n\cdot\delta_{84}(n)[/math]
[math]- 96n\cdot\delta_{90}(n)-144n\cdot\delta_{120}(n)-96n\cdot\delta_{210}(n)[/math]
and:
[math]R(n)=\frac{n^4-6n^3+23n^2-42n+24}{24}[/math]
[math]+ \frac{-5n^3+42n^2-40n-48}{48}\cdot\delta_2(n)-\frac{3n}{4}\cdot\delta_4(n)[/math]
[math]+ \frac{53n^2+310n}{12}\cdot\delta_6(n)+\frac{49n}{2}\cdot\delta_{12}(n)[/math]
[math]+ 32n\cdot\delta_{18}(n)+19n\cdot\delta_{24}(n)-36n\cdot\delta_{30}(n)[/math]
[math]- 50n\cdot\delta_{42}(n)-190n\cdot\delta_{60}(n)-78n\cdot\delta_{84}(n)[/math]
[math]- 48n\cdot\delta_{90}(n)-78n\cdot\delta_{120}(n)-48n\cdot\delta_{210}(n)[/math]
[math]- \frac{3n}{2}\cdot\delta_4(n)+\frac{-45n^2+262n}{6}\cdot\delta_6(n)+42\delta_{12}(n)[/math]
[math]+ 60n\cdot\delta_{18}(n+35n\cdot\delta_{24}(n)-38n\cdot\delta_{30}(n)[/math]
[math]- 82n\cdot\delta_{42}(n)-330n\cdot\delta_{60}(n)-144n\cdot\delta_{84}(n)[/math]
[math]- 96n\cdot\delta_{90}(n)-144n\cdot\delta_{120}(n)-96n\cdot\delta_{210}(n)[/math]
and:
[math]R(n)=\frac{n^4-6n^3+23n^2-42n+24}{24}[/math]
[math]+ \frac{-5n^3+42n^2-40n-48}{48}\cdot\delta_2(n)-\frac{3n}{4}\cdot\delta_4(n)[/math]
[math]+ \frac{53n^2+310n}{12}\cdot\delta_6(n)+\frac{49n}{2}\cdot\delta_{12}(n)[/math]
[math]+ 32n\cdot\delta_{18}(n)+19n\cdot\delta_{24}(n)-36n\cdot\delta_{30}(n)[/math]
[math]- 50n\cdot\delta_{42}(n)-190n\cdot\delta_{60}(n)-78n\cdot\delta_{84}(n)[/math]
[math]- 48n\cdot\delta_{90}(n)-78n\cdot\delta_{120}(n)-48n\cdot\delta_{210}(n)[/math]
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