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A293995 Number of linear chord diagrams having n chords and no chord length larger than three. 2

%I #9 Aug 08 2021 15:01:13

%S 1,1,3,15,35,103,343,979,2915,8935,26559,79499,239547,717455,2151095,

%T 6459027,19371507,58106071,174349295,523022555,1569013931,4707208351,

%U 14121515303,42364215075,127093528675,381280144743,1143838446943,3431519977579,10294558387995

%N Number of linear chord diagrams having n chords and no chord length larger than three.

%H Alois P. Heinz, <a href="/A293995/b293995.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (2,1,8,-6)

%F G.f.: -(x-1)/((3*x-1)*(2*x^3-2*x^2-x-1)).

%t LinearRecurrence[{2,1,8,-6},{1,1,3,15},30] (* _Harvey P. Dale_, Aug 08 2021 *)

%Y Column k=3 of A293960.

%K nonn,easy

%O 0,3

%A _Alois P. Heinz_, Oct 21 2017

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Last modified April 26 10:59 EDT 2024. Contains 371997 sequences. (Running on oeis4.)