a(n,m) tabl head (triangle) for A129467 (v=n member of a Bruschi et al. family) n\m 0 1 2 3 4 5 6 7 8 9... 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 2 0 -2 1 0 0 0 0 0 0 0 3 0 12 -8 1 0 0 0 0 0 0 4 0 -144 108 -20 1 0 0 0 0 0 5 0 2880 -2304 508 -40 1 0 0 0 0 6 0 -86400 72000 -17544 1708 -70 1 0 0 0 7 0 3628800 -3110400 808848 -89280 4648 -112 1 0 0 8 0 -203212800 177811200 -48405888 5808528 -349568 10920 -168 1 0 9 0 14631321600 -13005619200 3663035136 -466619904 30977424 -1135808 23016 -240 1 . . . Row polynomials are p(n,x)=sum(a(n,m)*x^m,m=0..n), n>=0. p(n,x)=product(x-k*(k-1),k=1..n), n>=1, p(0,x):=1. Row sums give A130031: [1,1,-1,5,-55,1045,-30305,1242505,-68337775,4851982025,...] Row sums (unsigned) give: The column sequences give A000007, A010790(n-1)*(-1)^(n-1), A084915(n-1)*(-1)^(n-2), A130033 for m=0,...,3. ########################################### e.o.f. #################################################