Search: id:A104561
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%I A104561
%S A104561 1,1,1,2,6,30,204,1944,23340,360060,6692280,151908120,4032593040,126425330640,
%T A104561 4537069829880,187762669281600,8751745668796200,462088269954518760,
%U A104561 27132285729049971120,1779812144439507990000,128512316060872730854560
%V A104561 1,-1,1,-2,6,-30,204,-1944,23340,-360060,6692280,-151908120,4032593040,
               -126425330640,
%W A104561 4537069829880,-187762669281600,8751745668796200,-462088269954518760,
%X A104561 27132285729049971120,-1779812144439507990000,128512316060872730854560
%N A104561 Column 0 of triangle A104560.
%C A104561 A104560 equals the matrix inverse of A104559, where A104559(n,k) = C(n-[k/
               2],[(k+1)/2])*C(n-[(k+1)/2],[k/2]).
%o A104561 (PARI) {a(n)=local(M);M=matrix(n+1,n+1,m,j,if(m>=j, binomial(m-1-(j-1)\2,
               j\2)*binomial(m-1-j\2,(j-1)\2))); return((M^-1)[n+1,1])}
%Y A104561 Cf. A104559, A104560.
%Y A104561 Sequence in context: A009645 A112385 A078700 this_sequence A127482 A118747 
               A129779
%Y A104561 Adjacent sequences: A104558 A104559 A104560 this_sequence A104562 A104563 
               A104564
%K A104561 sign
%O A104561 0,4
%A A104561 Paul D. Hanna (pauldhanna(AT)juno.com), Mar 16 2005

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