Search: id:A091029
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%I A091029
%S A091029 1,3,2,2,6,9,3,15,0,24,18,4,5,69,75,20,60,30,5,63,217,462,225,80,120,45,
               6,14,
%T A091029 462,300,1848,1785,525,210,210,63,7,252,2460,1809,4932,8428,5208,1050,
               448,336,84,8,
%U A091029 42,2556,9747,18775,2655,28296,28182,12726,1890,840,504,108,9
%V A091029 1,3,-2,2,6,-9,3,15,0,-24,18,-4,5,69,-75,-20,60,-30,5,63,217,-462,225,
               80,-120,45,-6,14,
%W A091029 462,300,-1848,1785,-525,-210,210,-63,7,252,2460,-1809,-4932,8428,-5208,
               1050,448,-336,84,-8,
%X A091029 42,2556,9747,-18775,-2655,28296,-28182,12726,-1890,-840,504,-108,9
%N A091029 Signed array used for numerators of generating functions of the column 
               sequences of array A090452.
%C A091029 The row polynomials P(m,x) := sum(a(m,k)*x^k,k=0..kmax(m)),m>=2, where 
               kmax(m) := floor(3*m/2)-3=A032766(m-2)=[0,1,3,4,6,7,9,10,...], appear 
               in the numerator of the g.f.s of the columns of A090452.
%C A091029 The sequence of the lengths of the rows is [1,2,4,5,7,8,10,11,13,14,...]=A001651(m-2)= 
               floor((3*m-4)/2).
%H A091029 W. Lang, <a href="http://www-itp.physik.uni-karlsruhe.de/~wl/EISpub/A091029.text">
               First 9 rows</a>.
%F A091029 a(m, k)=[x^k]P(m, x), with P(m, x) := ((1-x)^(2*m-3))*G(m, x)/x^ceiling(m/
               2) and the G(m, x) satisfy the hypergeometric differential difference 
               eq. given in A090452.
%e A091029 [1]; [3,-2]; [2,6,-9,3]; [15,0,-24,18,-4]; ...
%e A091029 P(3,x)=3-2*x; P(5,x)=15-24*x^2+18*x^3-4*x^4.
%Y A091029 Sequence in context: A106335 A065474 A111702 this_sequence A089327 A091264 
               A021760
%Y A091029 Adjacent sequences: A091026 A091027 A091028 this_sequence A091030 A091031 
               A091032
%K A091029 sign,tabf
%O A091029 2,2
%A A091029 Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), 
               Dec 23 2003

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