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Revision as of 11:29, 31 January 2015
, 11:29, 31 January 2015→Derivation for indexing the number of genotypes
= Derivation for indexing the number of genotypes =
= Derivation for indexing the number of genotypes =
An important observation here is that the enumeration of a A alleles for a given P ploidy, the enumeration of A-1 alleles for P ploidy is a subsequence.
a_1, ... a_p is ordered. Clearly when P = 1, the enumeration is of the genotypes is trivially the same as the allele.
<math>
\begin{align}
G(a_1,.. , a_p) = \begin{cases}
a_1 &, p=1 \\
F(a_p, p) + G(a_1,..,a_{p-1}) &, p \ne 1
\end{cases}
\end{align}
</math>
