%I A073153
%S A073153 1,1,2,4,5,9,14,18,22,36,56,70,86,100,156,237,293,349,405,461,698,1046,
%T A073153 1283,1507,1703,1927,2164,3210,4762,5808,6756,6980,7204,8152,9198,
%U A073153 13960,21078
%N A073153 Triangle of numbers relating two sequences (A073155 and A073156).
%F A073153 Triangle {a(n, k), n >= 0, 0<=k<=n} defined by: a(0, 0)=1, a(n, 0)=A073155(n), 
               a(n, n)=A073156(n), a(n, 0)=a(n-1, n-1) + 2*a(n-2, n-2) + a(n-3, 
               n-3), a(n, k)=sum{j=0..k} A073155(j) * A073155(n-j).
%e A073153 a(4,0)=a(3,3)+2*a(2,2)+a(1,1)=2+2*9+36=56. a(5,2)=A073155(0)*A073155(5)+A073155(1)*A073155(4)+A073155(2)*A073\
               155(3)= 1*237+1*56+4*14=349. Rows: {1}; {1,2}; {4,5,9}; {14,18,22,
               36}; {56,70,86,100,156}; {237,293,349,405,461,698}; {1046,1283,1507,
               1703,1927,2164,3210};...
%Y A073153 Cf. A073154, A073155, A073156, A073157, A073153.
%Y A073153 Sequence in context: A126697 A162406 A129282 this_sequence A073154 A077882 
               A120939
%Y A073153 Adjacent sequences: A073150 A073151 A073152 this_sequence A073154 A073155 
               A073156
%K A073153 easy,nonn,tabl
%O A073153 0,3
%A A073153 Paul D. Hanna (pauldhanna(AT)juno.com), Jul 29 2002