OFFSET
0,3
COMMENTS
In genetics, one could ask, given an initial population of genotypes xX and XY (x being a recessive sex-linked trait), how many afflicted males would result in successive generations if each generation mated only inter sese, and each pairing resulted in only the expected four hypothetical results.
In any system of this kind, provided the sex ratio is 1:1, the frequency of each allele is the same in each subsequent generation, and the genome ratios approach the product values fairly quickly. (If the sex ratios are not equal in the base generation, they will be from the first generation on.) In this case, this results in a limit of 1/3 of males affected, and 1/9 of females. - Franklin T. Adams-Watters, Oct 02 2011
FORMULA
a = xx, b = xX, c = XX, d = xY, e = XY.
a' = 2ad + bd;
b' = 2ae + bd + be + 2cd;
c' = be + 2 ce;
d' = bd + be + 2ad + 2ae;
e' = bd + be + 2cd + 2ce.
EXAMPLE
Let F_0 be: a=0,b=1,c=0,d=0,e=1; F_1 is {0,1,1,1,1}; F_2 = {1,4,3,2,6}.
CROSSREFS
KEYWORD
nonn
AUTHOR
Daniel Tisdale, Oct 02 2011
EXTENSIONS
a(5)-a(8) from Franklin T. Adams-Watters, Oct 03 2011
STATUS
approved