OFFSET
0,2
FORMULA
EXAMPLE
Rows begin:
[1],
[2,1],
[3,-2,1],
[7,-13,6,1],
[17,-34,23,-10,1],
[75,-214,224,-121,22,1],
[346,-1080,1361,-712,55,-42,1],
[4874,-17748,26541,-19615,6616,-1097,86,1],...
Equals the matrix square of A102225, which starts:
[1],
[1,1],
[2,-1,1],
[3,-5,3,1],
[7,-20,19,-5,1],
[17,-51,57,-33,11,1],...
Each row k of A102228 equals the partial sums of
row (k+1) of A102225 (prior to main diagonal term).
PROG
(PARI) {T(n, k)=local(A=matrix(1, 1), B); A[1, 1]=1; 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, 1]=(A^2)[i-1, 1], B[i, j]=(A^2)[i-1, j]-(A^2)[i-1, j-1])); )); A=B); return((A^2)[n+1, k+1])}
CROSSREFS
KEYWORD
sign,tabl
AUTHOR
Paul D. Hanna, Jan 01 2005
STATUS
approved