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.
%I A368476 #17 Jan 30 2024 10:23:59
%S A368476 1,6,7,6,9,2,3,0,7,6,9,2,3,0,7,6,9,2,3,0,7,6,9,2,3,0,7,6,9,2,3,0,7,6,
%T A368476 9,2,3,0,7,6,9,2,3,0,7,6,9,2,3,0,7,6,9,2,3,0,7,6,9,2,3,0,7,6,9,2,3,0,
%U A368476 7,6,9,2,3,0,7,6,9,2,3,0,7,6,9,2,3,0,7
%N A368476 Decimal expansion of 109/65, being the highest possible win/loss points ratio in a completed 3-set tennis match, with 10-point final tie-break, which the player loses.
%C A368476 Tie-break games are played to 7 points in all sets except the last of the match, which is a 10-point tie-break.
%C A368476 The structure of sets and games in tennis means a player can win more points but lose the match.
%C A368476 The highest win/loss ratio for 3 sets occurs with game scores 6-0 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 8-10 in the two tie-break games.
%C A368476 Player A wins 109 points and player B wins 65 points, but player A loses the match.
%C A368476 This ratio is a little lower than when the final tie-break is played to 7 points (see A368009).
%H A368476 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,-1,1).
%F A368476 Equals (6*4 + (6*4 + 6*2 + 5) + (6*4 + 6*2 + 8))/((6*4 + 7) + (6*4 + 10)).
%e A368476 1.6769230... (periodic part 769230).
%t A368476 First[RealDigits[109/65, 10, 100]] (* or *)
%t A368476 PadRight[{1, 6}, 100, {3, 0, 7, 6, 9, 2}] (* _Paolo Xausa_, Jan 30 2024 *)
%Y A368476 Cf. A368008, A368009, A368146.
%Y A368476 Apart from leading digits the same as A021017.
%K A368476 nonn,cons,easy
%O A368476 1,2
%A A368476 _Marco Ripà_, Dec 26 2023