%I
%S 2,3,5,4,3,3,3,4,3,5,2,7,12,17,17,22,27,27,27,22,27,17,32,7,18,43,
%T 43,68,93,93,93,68,93,43,118,7,132,257,257,382,507,507,507,
%U 382,507,257,632,7,618,1243
%N A multiswitched integer differentialtype sequence designed to be mostly odd: two types of integer differential sequences are switched in a way that is made odd: 1) a(n)=2*a(n1)a(n2); 2) a(n)=3*a(n1)3*a(n2)+a(n3); the one back versions are 3) a(n)=2*a(n2)a(n3); 4) a(n)=3*a(n2)3*a(n3)+a(n4).
%C The object is to choose the options so that the most likely outcome is odd; 33 out of the first 50 terms are odd.
%C Apply[Plus, Table[If[Mod[a0[[n]], 2] == 1, 1, 0], {n, 1, Length[a0]}]].
%t Clear[a] a[1] = 2; a[2] = 3; a[3] = 5; a[n_] := a[n] = If[Mod[3*a[n  1]  3*a[n  2] + a[n  3], 2] == 0, If[Mod[2*a[n  1]  a[n  2], 3] == 0, 2*a[n  1]  a[n  2], 2*a[n  2]  a[n  3]], If[Mod[3*a[n  1]  3*a[n  2] + a[n  3], 3] == 0, 3*a[n  2]  3*a[n  3] + a[n  4], 3*a[n  1]  3*a[n  2] + a[n  3]]] a0=Table[a[n], {n, 1, 50}]
%K tabl,sign
%O 1,1
%A _Roger L. Bagula_, Apr 14 2008, Apr 15 2008
