Search: id:A002058
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%I A002058 M2069 N0817
%S A002058 2,14,72,330,1430,6006,24752,100776,406980,1634380,6537520,26075790,
%T A002058 103791870,412506150,1637618400,6495886320,25751549340,102042235620,
%U A002058 404225281200,1600944863700,6339741660252,25103519174844,99399793096352
%N A002058 Number of partitions of a polygon by number of parts.
%D A002058 A. Cayley, On the partitions of a polygon, Proc. London Math. Soc., 22 
               (1891), 237-262 = Collected Mathematical Papers. Vols. 1-13, Cambridge 
               Univ. Press, London, 1889-1897, Vol. 13, pp. 93ff.
%D A002058 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A002058 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A002058 A. Cayley, <a href="http://www.hti.umich.edu/cgi/t/text/pageviewer-idx?sid=b88432273f115fb346725f1a42422e19&i\
               dno=abs3153.0013.001&c=umhistmath&cc=umhistmath&seq=110&view=image">
               On the partitions of a polygon</a>, Collected Mathematical Papers. 
               Vols. 1-13, Cambridge Univ. Press, London, 1889-1897, Vol. 13, pp. 
               93ff.
%F A002058 a(n) = 2 binomial[2n-5,n-5] - David Callan (callan(AT)stat.wisc.edu), 
               Mar 30 2007
%Y A002058 Cf. A002059, A002060.
%Y A002058 Sequence in context: A086243 A072888 A094583 this_sequence A095933 A043011 
               A138156
%Y A002058 Adjacent sequences: A002055 A002056 A002057 this_sequence A002059 A002060 
               A002061
%K A002058 nonn
%O A002058 5,1
%A A002058 N. J. A. Sloane (njas(AT)research.att.com).

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