Search: id:A141605
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%I A141605
%S A141605 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,1,1,2,5,5,5,5,2,
%T A141605 1,1,2,3,9,9,9,3,2,1,1,3,5,8,23,23,8,5,3,1,1,3,8,15,25,75,25,15,8,3,1
%N A141605 Combination-like triangle of coefficients made using Somos(6) ;A006722; 
               t(n,m)=A006722(n)/(A006722(n-m)*A006722(m)).
%C A141605 Row sums are:
%C A141605 {1, 2, 3, 4, 5, 6, 17, 26, 39, 80, 179}.
%F A141605 t(n,m)=A006722(n)/(A006722(n-m)*A006722(m)).
%e A141605 {1},
%e A141605 {1, 1},
%e A141605 {1, 1, 1},
%e A141605 {1, 1, 1, 1},
%e A141605 {1, 1, 1, 1, 1},
%e A141605 {1, 1, 1, 1, 1, 1},
%e A141605 {1, 3, 3, 3, 3, 3, 1},
%e A141605 {1, 2, 5, 5, 5, 5, 2, 1},
%e A141605 {1, 2, 3, 9, 9, 9, 3, 2, 1},
%e A141605 {1, 3, 5, 8, 23, 23, 8, 5, 3, 1},
%e A141605 {1, 3, 8, 15, 25, 75, 25, 15, 8, 3, 1}
%t A141605 Clear[a, t] (*A006722*) a[0] = a[1] =a[2] = a[3] = a[4] = a[5] = 1; a[n_] 
               := a[n] = (a[n - 1]*a[n - 5] + a[n - 2]*a[ n - 4] + a[n - 3]^2)/a[n 
               - 6]; Array[a, 23]; t[n_, m_] := a[n]/(a[n - m]*a[m]) Table[Table[Round[t[n, 
               m]], {m, 0, n}], {n, 0, 10}]; Flatten[%]
%Y A141605 Cf. A006722.
%Y A141605 Sequence in context: A106694 A031355 A097675 this_sequence A073139 A122845 
               A135203
%Y A141605 Adjacent sequences: A141602 A141603 A141604 this_sequence A141606 A141607 
               A141608
%K A141605 nonn,uned,tabl
%O A141605 1,23
%A A141605 Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Aug 
               21 2008

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