Search: id:A005701
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%I A005701 M2968
%S A005701 3,14,40,90,175,308,504,780,1155,1650,2288,3094,4095,5320,
%T A005701 6800,8568,10659,13110,15960,19250,23023,27324,32200,37700,
%U A005701 43875,50778,58464,66990,76415,86800,98208,110704,124355
%N A005701 Number of exterior points formed by extending diagonals of n-gon in general 
               position.
%D A005701 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A005701 L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 74, Problem 8.
%D A005701 D. Gouyou-Beauchamps, Chemins sous-diagonaux et tableau de Young, pp. 
               112-125 of "Combinatoire Enumerative (Montreal 1985)", Lect. Notes 
               Math. 1234, 1986.
%H A005701 <a href="Sindx_Y.html#Young">Index entries for sequences related to Young 
               tableaux.</a>
%F A005701 n(n+1)(n+2)(n+5)/12.
%F A005701 G.f.:(x-3)/(x-1)^5 [From Maksym Voznyy (voznyy(AT)mail.ru), Aug 10 2009]
%t A005701 s1=s2=s3=0;lst={};Do[a=n+(n+1);s1+=a;s2+=s1;s3+=s2;AppendTo[lst,s3],{n,
               1,5!}];lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Apr 
               04 2009]
%Y A005701 Sequence in context: A000263 A102590 A034130 this_sequence A050297 A117662 
               A104905
%Y A005701 Adjacent sequences: A005698 A005699 A005700 this_sequence A005702 A005703 
               A005704
%K A005701 nonn,easy
%O A005701 0,1
%A A005701 N. J. A. Sloane (njas(AT)research.att.com), Robert G. Wilson v (rgwv(AT)rgwv.com)

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