%I A156290
%S A156290 1,4,1,15,6,1,56,28,8,1,210,120,45,10,1,792,495,220,66,12,1,
%T A156290 3003,2002,1001,364,91,14,1,11440,8008,4368,1820,560,120,16,1,
%U A156290 43758,31824,18564,8568,3060,816,153,18,1,167960,125970,77520
%V A156290 1,-4,1,15,-6,1,-56,28,-8,1,210,-120,45,-10,1,-792,495,-220,66,-12,1,
%W A156290 3003,-2002,1001,-364,91,-14,1,-11440,8008,-4368,1820,-560,120,-16,1,
%X A156290 43758,-31824,18564,-8568,3060,-816,153,-18,1,-167960,125970,-77520
%N A156290 Triangle read by rows: alternating binomial coefficients in the closed 
               form expression for sequence A156289
%F A156290 R(k,j)=(-1)^(k+j)*Binomial(2k,k+j), for 1<= j<=k, and 0 otherwise
%e A156290 R(2,1)=-4, R(3,3)=1, R(4,2)=28
%t A156290 R[m_] := Flatten[Table[(-1)^(k + j) Binomial[2 k, k + j], {k, 1, m}, 
               {j, 1, k}]]
%Y A156290 coefficient factor in elements of sequence A156289 inverse of lower triangular 
               matrix A156308
%Y A156290 Sequence in context: A016115 A164794 A107873 this_sequence A080419 A095307 
               A159764
%Y A156290 Adjacent sequences: A156287 A156288 A156289 this_sequence A156291 A156292 
               A156293
%K A156290 easy,sign,tabl
%O A156290 1,2
%A A156290 Hartmut F. W. Hoeft (hhoft(AT)emich.edu), Feb 07 2009