cp's OEIS Frontend

A348052 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.

%I A348052 #7 Oct 07 2021 07:11:25
%S A348052 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 A348052 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 A348052 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 A348052 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 A348052 See A348051.
%e A348052 The triangle starts:
%e A348052   4/5,
%e A348052   5/7,  3/5,
%e A348052   7/8,  9/11, 12/13,
%e A348052   2/3,  7/13, 11/14,  8/17,
%e A348052   3/4, 11/17, 16/19, 13/22, 20/29
%e A348052 ....
%Y A348052 A348051 are the corresponding numerators.
%Y A348052 Cf. A007305, A007306, A348131, A348132.
%K A348052 nonn,frac,tabl
%O A348052 2,1
%A A348052 _Hugo Pfoertner_, Sep 25 2021