cp's OEIS Frontend

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.

A368009 Decimal expansion of 53/31, being the highest possible points won/lost ratio in a completed 3-set tennis match which the player loses.

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%I A368009 #47 Jan 29 2024 04:05:10
%S A368009 1,7,0,9,6,7,7,4,1,9,3,5,4,8,3,8,7,0,9,6,7,7,4,1,9,3,5,4,8,3,8,7,0,9,
%T A368009 6,7,7,4,1,9,3,5,4,8,3,8,7,0,9,6,7,7,4,1,9,3,5,4,8,3,8,7,0,9,6,7,7,4,
%U A368009 1,9,3,5,4,8,3,8,7,0,9,6,7,7,4,1,9,3,5
%N A368009 Decimal expansion of 53/31, being the highest possible points won/lost ratio in a completed 3-set tennis match which the player loses.
%C A368009 Tie-break games are played to 7 points in all sets.
%C A368009 The structure of sets and games in tennis means a player can win more points but lose the match.
%C A368009 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 in the two tie-break games.
%C A368009 Player A wins 106 points and player B wins 62 points, but player A loses the match.
%H A368009 <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 A368009 Equals (6*4 + 2*(6*4 + 6*2 + 5))/(2*(6*4 + 7)).
%e A368009 1.709677419354838... (periodic part 709677419354838).
%t A368009 First[RealDigits[53/31, 10, 100]] (* _Paolo Xausa_, Jan 29 2024 *)
%Y A368009 Cf. A021428, A368008, A368146, A368476.
%K A368009 nonn,cons,easy
%O A368009 1,2
%A A368009 _Marco RipĂ _, Dec 07 2023