%I #6 Nov 26 2012 18:17:58
%S 1,1,2,4,5,9,14,18,22,36,56,70,86,100,156,237,293,349,405,461,698,
%T 1046,1283,1507,1703,1927,2164,3210,4762,5808,6756,6980,7204,8152,
%U 9198,13960,21078
%N Triangle of numbers relating two sequences A073155 and A073156.
%F Triangle {T(n, k), n >= 0, 0<=k<=n} defined by: T(0, 0)=1,
%F T(n, 0) = A073155(n), T(n, n) = A073156(n),
%F T(n, 0) = T(n-1, n-1) + 2*T(n-2, n-2) + T(n-3, n-3),
%F T(n, k) = Sum_{j=0..k} A073155(j) * A073155(n-j).
%e T(4,0) = T(3,3) + 2*T(2,2) + T(1,1) = 2 + 2*9 + 36 = 56.
%e T(5,2) = A073155(0)*A073155(5) + A073155(1)*A073155(4) + A073155(2)*A073155(3) = 1*237 + 1*56 + 4*14 = 349.
%e Triangle begins:
%e 1;
%e 1, 2;
%e 4, 5, 9;
%e 14, 18, 22, 36;
%e 56, 70, 86, 100, 156;
%e 237, 293, 349, 405, 461, 698;
%e 1046, 1283, 1507, 1703, 1927, 2164, 3210; ...
%Y Cf. A073154, A073155, A073156, A073157, A073153.
%K easy,nonn,tabl
%O 0,3
%A _Paul D. Hanna_, Jul 29 2002
%E Formulas simplified by _Paul D. Hanna_, Nov 26 2012