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A102586 Column 1 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 1,3,-19,310,-11328,883178,-142845383,47124630966,-31389538995820,

%T 41966291739520114,-112239440330570264010,599445448022410123433672,

%U -6387659158606726869654362069,135761394258581301972193734315759,-5754804036972694617911667246525612781

%N Column 1 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+2,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+2,2])}

%Y Cf. A102583, A102585.

%K sign

%O 0,2

%A _Paul D. Hanna_, Jan 22 2005

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Last modified September 21 20:10 EDT 2021. Contains 347598 sequences. (Running on oeis4.)