cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A196448 Value of a variable (d) in an iterative system. See equations.

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%I A196448 #25 Feb 15 2015 11:59:23
%S A196448 0,1,2,48,10240,738197504,3026418949592973312,
%T A196448 57156803818751382534863703592054816768,
%U A196448 19223296064788821505866276808082953452203024798006734264363075470063703162880
%N A196448 Value of a variable (d) in an iterative system. See equations.
%C A196448 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.
%C A196448 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
%F A196448 a = xx, b = xX, c = XX, d = xY, e = XY.
%F A196448 a' = 2ad + bd;
%F A196448 b' = 2ae + bd + be + 2cd;
%F A196448 c' = be + 2 ce;
%F A196448 d' = bd + be + 2ad + 2ae;
%F A196448 e' = bd + be + 2cd + 2ce.
%e A196448 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}.
%Y A196448 Cf. A196197, A058891 (males in each generation), A000302 (total size of generations).
%K A196448 nonn
%O A196448 0,3
%A A196448 _Daniel Tisdale_, Oct 02 2011
%E A196448 a(5)-a(8) from _Franklin T. Adams-Watters_, Oct 03 2011