OFFSET
0,4
COMMENTS
Row sums equal 0^n.
Row n contains the coefficients of Product_{j=0..n-1} (2^j*x-1), highest coefficient first. - Alois P. Heinz, Mar 26 2012
The elements of the matrix inverse are apparently given by T^(-1)(n,k) = (-1)^k*A022166(n,k). - R. J. Mathar, Mar 26 2013
LINKS
Alois P. Heinz, Rows n = 0..44
FORMULA
T(n,k) = [x^(n-k)] Product_{j=0..n-1} (2^j*x-1). - Alois P. Heinz, Mar 26 2012
EXAMPLE
Triangle begins :
1;
1, -1;
2, -3, 1;
8, -14, 7, -1;
64, -120, 70, -15, 1;
MAPLE
T:= n-> seq (coeff (mul (2^j*x-1, j=0..n-1), x, n-k), k=0..n):
seq (T(n), n=0..10); # Alois P. Heinz, Mar 26 2012
MATHEMATICA
row[n_] := CoefficientList[(-1)^n QPochhammer[x, 2, n] + O[x]^(n+1), x] // Reverse; Table[row[n], {n, 0, 10}] // Flatten (* Jean-François Alcover, May 26 2016 *)
CROSSREFS
KEYWORD
sign,tabl
AUTHOR
Philippe Deléham, Mar 10 2009
STATUS
approved