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Triangle T(j,k) of denominators of relativistically added fractional velocities w(u,v)=(u+v)/(u*v+1), with velocities enumerated by the Farey series, i.e., u(m) = v(m) = A007305(m)/A007306(m), m>=2.
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%I #7 Oct 07 2021 07:11:25

%S 5,7,5,8,11,13,3,13,14,17,4,17,19,22,29,13,9,21,23,31,17,11,15,18,19,

%T 26,29,25,11,2,17,7,9,7,23,13,16,23,5,2,13,41,34,37,53,19,27,6,7,46,

%U 49,41,43,62,73,17,3,27,31,41,11,37,19,11,13,29,6,25,29,32,43,47,40,13,19,68,61,65

%N Triangle T(j,k) of denominators of relativistically added fractional velocities w(u,v)=(u+v)/(u*v+1), with velocities enumerated by the Farey series, i.e., u(m) = v(m) = A007305(m)/A007306(m), m>=2.

%e See A348051.

%e The triangle starts:

%e 4/5,

%e 5/7, 3/5,

%e 7/8, 9/11, 12/13,

%e 2/3, 7/13, 11/14, 8/17,

%e 3/4, 11/17, 16/19, 13/22, 20/29

%e ....

%Y A348051 are the corresponding numerators.

%Y Cf. A007305, A007306, A348131, A348132.

%K nonn,frac,tabl

%O 2,1

%A _Hugo Pfoertner_, Sep 25 2021