%I A073373
%S A073373 1,4,18,60,195,576,1644,4488,11925,30860,78278,195012,478599,1159080,
%T A073373 2774880,6575280,15439065,35955540,83118970,190862860,435601611,
%U A073373 988620624,2232236628,5016441240,11224087965
%N A073373 Third convolution of A001045(n+1) (generalized (1,2)-Fibonacci), n>=0, 
               with itself.
%F A073373 a(n)=sum(b(k)*c(n-k), k=0..n) with b(k) := A001045(k+1) and c(k) := A073372(k).
%F A073373 a(n)=sum(binomial(n-k+3, 3)*binomial(n-k, k)*2^k, k=0..floor(n/2)).
%F A073373 a(n)= ((350+177*n+21*n^2)*(n+1)*U(n+1)+2*(277+132*n+15*n^2)*(n+2)*U(n))/
               (2*9^3) with U(n) := A001045(n+1), n>=0.
%F A073373 G.f.: 1/(1-(1+2*x)*x)^4.
%Y A073373 Fourth (m=3) column of triangle A073370.
%Y A073373 Sequence in context: A027286 A119044 A058851 this_sequence A057414 A165910 
               A100177
%Y A073373 Adjacent sequences: A073370 A073371 A073372 this_sequence A073374 A073375 
               A073376
%K A073373 nonn,easy
%O A073373 0,2
%A A073373 Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Aug 2, 
               2002