Table 2 Frequency equations for each amino acid (including stop signal) in random sequences for the SGCode, their maximum frequency, and GC content where that is reached.

From: Statistical analysis of synonymous and stop codons in pseudo-random and real sequences as a function of GC content

Amino acid

Frequency equation

Max GC content

Max frequency

Asn, Lys, Phe, Tyr

\(\frac{{\left(1-g\right)}^{2}}{8}\)

0.0

0.125

Leu

\(\frac{1-{g}^{2}}{8}\)

0.0

0.125

Stop

\(\frac{{\left(1-g\right)}^{2}\left(1+g\right)}{8}\)

0.0

0.125

Ile

\(\frac{{\left(1-g\right)}^{2}\left(2-g\right)}{8}\)

0.0

0.25

Met

\(\frac{g{\left(1-g\right)}^{2}}{8}\)

0.33

0.0185

Asp, Cys, Gln, Glu, His

\(\frac{g\left(1-g\right)}{8}\)

0.5

0.03125

Thr, Val

\(\frac{g\left(1-g\right)}{4}\)

0.5

0.0625

Ser

\(\frac{3g\left(1-g\right)}{8}\)

0.5

0.09375

Trp

\(\frac{{g}^{2}\left(1-g\right)}{8}\)

0.67

0.0185

Ala, Gly, Pro

\(\frac{{g}^{2}}{4}\)

1.0

0.25

Arg

\(\frac{g\left(1+g\right)}{8}\)

1.0

0.25