%I A131774
%S A131774 1,2,1,1,2,1,2,0,4,1,1,2,3,4,1,2,1,8,2,6,1,1,2,4,8,7,6,1,2,2,12,0,20,6,
%T A131774 8,1,1,2,4,12,15,20,13,8,1,2,3,16,6,42,9,40,12,10,1
%V A131774 1,2,1,1,2,1,2,0,4,1,1,2,3,4,1,2,-1,8,2,6,1,1,2,4,8,7,6,1,2,-2,12,0,20,
               6,8,1,1,2,4,12,
%W A131774 15,20,13,8,1,2,-3,16,-6,42,9,40,12,10,1
%N A131774 2*A065941 - A049310.
%C A131774 Row sums = the Lucas numbers, A000032, starting (1, 3, 4, 7, 11,...). 
               Generally, N*A065941 - (N-1)*A049310 = triangles with row sums = 
               Fibonacci-like sequences starting (1, (N+1), (N+1+1),...). With N 
               = 2, row sums of the triangle A131774 = (1, 3, 4, 7,...).
%F A131774 2*A065941 - A049310 as infinite lower triangular matrices.
%e A131774 First few rows of the triangle are:
%e A131774 1;
%e A131774 2, 1;
%e A131774 1, 2, 1;
%e A131774 2, 0, 4, 1;
%e A131774 1, 2, 3, 4, 1;
%e A131774 2, -1, 8, 2, 6, 1;
%e A131774 1, 2, 4, 8, 7, 6, 1;
%e A131774 ...
%Y A131774 Cf. A065941, A049310, A000032, A131775, A131776, A131777, A131778.
%Y A131774 Sequence in context: A057856 A117939 A105522 this_sequence A078316 A055443 
               A003842
%Y A131774 Adjacent sequences: A131771 A131772 A131773 this_sequence A131775 A131776 
               A131777
%K A131774 tabl,sign
%O A131774 1,2
%A A131774 Gary W. Adamson (qntmpkt(AT)yahoo.com), Jul 14 2007