A105622 - OEIS

%I #3 Mar 30 2012 18:36:45

%S 1,0,-3,-16,-104,-908,-9980,-130756,-1978044,-33864628,-646882700,

%T -13637768276,-314550050684,-7879500818548,-213050486593260,

%U -6184793428783156,-191870459680722524,-6335136849263878868,-221817478808912340620,-8209644712019737332436

%N Row sums of triangle A105620.

%C A105620 is the matrix inverse square-root of triangle A105615.

%o (PARI) {a(n)=local(R,M=matrix(n+3,n+3,m,j,if(m>=j,if(m==j,1,if(m==j+1,-2*j, polcoeff(1/sum(i=0,m-j,(2*i)!/i!/2^i*x^i)+O(x^m),m-j)))))); R=(M+M^0)/2;for(i=1,floor(2*log(n+2)),R=(R+M*R^(-1))/2); return(if(n<0,0,sum(k=0,n,R[n+1,k+1])))}

%Y Cf. A105615, A105620.

%K sign

%O 0,3

%A _Paul D. Hanna_, Apr 16 2005