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%I #2 Oct 12 2012 14:54:51
%S 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,
%T 2,1,1,2,3,9,9,9,3,2,1,1,3,5,8,23,23,8,5,3,1,1,3,8,15,25,75,25,15,8,3,
%U 1
%N Combination-like triangle of coefficients made using Somos(6) ;A006722; t(n,m)=A006722(n)/(A006722(n-m)*A006722(m)).
%C Row sums are:
%C {1, 2, 3, 4, 5, 6, 17, 26, 39, 80, 179}.
%F t(n,m)=A006722(n)/(A006722(n-m)*A006722(m)).
%e {1},
%e {1, 1},
%e {1, 1, 1},
%e {1, 1, 1, 1},
%e {1, 1, 1, 1, 1},
%e {1, 1, 1, 1, 1, 1},
%e {1, 3, 3, 3, 3, 3, 1},
%e {1, 2, 5, 5, 5, 5, 2, 1},
%e {1, 2, 3, 9, 9, 9, 3, 2, 1},
%e {1, 3, 5, 8, 23, 23, 8, 5, 3, 1},
%e {1, 3, 8, 15, 25, 75, 25, 15, 8, 3, 1}
%t 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 Cf. A006722.
%K nonn,uned,tabl
%O 1,23
%A _Roger L. Bagula_ and _Gary W. Adamson_, Aug 21 2008
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