%I #45 Jan 30 2024 13:55:05
%S 1,8,3,8,7,0,9,6,7,7,4,1,9,3,5,4,8,3,8,7,0,9,6,7,7,4,1,9,3,5,4,8,3,8,
%T 7,0,9,6,7,7,4,1,9,3,5,4,8,3,8,7,0,9,6,7,7,4,1,9,3,5,4,8,3,8,7,0,9,6,
%U 7,7,4,1,9,3,5,4,8,3,8,7,0,9,6,7,7,4,1
%N Decimal expansion of 171/93, being the highest possible points won/lost ratio in a completed 5-set tennis match which the player loses.
%C Tie-break games are played to 7 points in all sets.
%C The structure of sets and games in tennis means a player can win more points but lose the match.
%C The highest win/loss ratio for 5 sets occurs with game scores 6-0 6-0 6-7 6-7 6-7 where player A wins games by points score 4-0, and loses by 2-4 in ordinary games and 5-7 in the three tie-break games.
%C Player A wins 171 points and player B wins 93 points, but player A loses the match.
%H <a href="/index/Rec#order_15">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,0,0,0,0,0,1).
%F Equals (2*6*4 + 3*(6*4 + 6*2 + 5))/(3*(6*4 + 7)).
%e 1.838709677419354... (periodic part 838709677419354).
%t First[RealDigits[171/93, 10, 100]] (* _Paolo Xausa_, Jan 30 2024 *)
%Y Cf. A021061, A368009, A368146, A368476.
%K nonn,cons,easy
%O 1,2
%A _Marco RipĂ _, Dec 07 2023