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.

1, 3, -19, 310, -11328, 883178, -142845383, 47124630966, -31389538995820, 41966291739520114, -112239440330570264010, 599445448022410123433672, -6387659158606726869654362069, 135761394258581301972193734315759, -5754804036972694617911667246525612781

Offset

0,2

Links

Table of n, a(n) for n=0..14.

Prog

(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])}

Crossrefs

Cf. A102583, A102585.

Sequence in context: A224681 A115705 A136171 * A326902 A346840 A132876

Adjacent sequences: A102583 A102584 A102585 * A102587 A102588 A102589

Keyword

sign

Author

Paul D. Hanna, Jan 22 2005

Status

approved