Search: id:A143083
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%I A143083
%S A143083 3,10,70,21,252,1386,36,660,5148,25740,55,1430,15015,97240,461890,78,
%T A143083 2730,37128,302328,1763580,8112468,105,4760,81396,813960,5720330,
%U A143083 31201800,140408100,136,7752,162792,1961256,16343800,104303160
%N A143083 A triangle of coefficients: t(n,m)=(2*n + 2*m + 3)!/(28(2*m + 1)!(2*n 
               + 1)!).
%C A143083 Row sums are:
%C A143083 {3, 80, 1659, 31584, 575630, 10218312, 178230451, 3070011776, 52387009722, 
               887453729920, 14946680628638};
%D A143083 Maryam Mirzakhani,Weil-Peteresson volumes and intersection theory on 
               the moduli space of curves, Journal of the American Mathematical 
               Society,page 18, http://www.math.princeton.edu/~mmirzakh/
%F A143083 t(n,m)=(2*n + 2*m + 3)!/(28(2*m + 1)!(2*n + 1)!).
%e A143083 {3},
%e A143083 {10, 70},
%e A143083 {21, 252, 1386},
%e A143083 {36, 660, 5148, 25740},
%e A143083 {55, 1430, 15015, 97240, 461890},
%e A143083 {78, 2730, 37128, 302328, 1763580, 8112468},
%e A143083 {105, 4760, 81396, 813960, 5720330, 31201800, 140408100},
%e A143083 {136, 7752, 162792, 1961256, 16343800, 104303160, 542911320, 2404321560},
%e A143083 {171, 11970, 302841, 4326300, 42181425, 311375610, 1856277675, 9334424880, 
               40838108850},
%e A143083 {210, 17710, 531300, 8880300, 100150050, 846723150, 5731664400, 32479431600, 
               159053687100, 689232644100},
%e A143083 {253, 25300, 888030, 17168580, 221760825, 2128903920, 16239715800, 103006197360, 
               561232295910, 2691289372200, 11572544300460}
%t A143083 t[n_, m_] = (2*n + 2*m + 3)!/((2*m + 1)!(2*n + 1)!); Table[Table[t[n, 
               m]/2, {m, 0, n}], {n, 0, 10}]; Flatten[%]
%Y A143083 Sequence in context: A004102 A072638 A080526 this_sequence A002499 A047833 
               A047834
%Y A143083 Adjacent sequences: A143080 A143081 A143082 this_sequence A143084 A143085 
               A143086
%K A143083 nonn,uned
%O A143083 1,1
%A A143083 Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Oct 
               15 2008

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