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A102585 Column 0 of triangular matrix A102583, in which row n is formed from the first differences of row (n-1) of its inverse matrix square. 2

%I

%S 1,1,-2,13,-209,7558,-584837,94047241,-30883147262,20492965038853,

%T -27310366246742669,72841632366094705678,-388104936993411191934437,

%U 4126997257143980587638461521,-87552095605182502304219090669762,3705151846765308253776294449404299133

%N Column 0 of triangular matrix A102583, in which row n is formed from the first differences of row (n-1) of its inverse matrix square.

%o (PARI) {a(n)=local(A=Mat(1),B);for(m=2,n+1,B=matrix(m,m); for(i=1,m, for(j=1,i,if(j==i,B[i,j]=1,if(j==1,B[i,j]=(A^-2)[i-1,1], B[i,j]=(A^-2)[i-1,j]-(A^-2)[i-1,j-1]));));A=B);return(A[n+1,1])}

%Y Cf. A102583, A102586.

%K sign

%O 0,3

%A _Paul D. Hanna_, Jan 22 2005

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Last modified July 25 13:05 EDT 2021. Contains 346290 sequences. (Running on oeis4.)