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Triangle, T(n,k) = T(n-1,k) + T(n-1,k-1), 1<k<n with borders given by the Tetrahedral numbers.
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%I #7 Apr 04 2012 16:14:51

%S 1,4,4,10,8,10,20,18,18,20,35,38,36,38,35,56,73,74,74,73,56,84,129,

%T 147,148,147,129,84,120,213,276,295,295,276,213,120,165,333,489,571,

%U 590,571,489,333,165,220,498,822,1060,1161

%N Triangle, T(n,k) = T(n-1,k) + T(n-1,k-1), 1<k<n with borders given by the Tetrahedral numbers.

%F Triangle, given borders = A000292, then apply Pascal's rule.

%e First few rows of the triangle are:

%e 1;

%e 4, 4;

%e 10, 8, 10;

%e 20, 18, 18, 20;

%e 35, 38, 36, 38, 35;

%e 56, 73, 74, 74, 73, 56;

%e ...

%Y Cf. A000292, A134638 (row sums).

%K nonn,tabl

%O 1,2

%A _Gary W. Adamson_, Nov 04 2007

%E Corrected by _R. J. Mathar_, Apr 04 2012