OFFSET
0,6
COMMENTS
The row polynomials t(n,x):= sum(T(n,k)*x^k, k=0..n) satisfy the recurrence relation t(n,x) = 2x*t(n-1,x) + ((2n-3)^2)*t(n-2,x); t(0,x) = 1, t(1,x) = x.
FORMULA
T(n,k) = 2*T(n-1,k-1) + ((2n-3)^2)*T(n-2,k); T(0,0) = 1, T(1,0) = 0, T(1,1) = 1, T(n,k) = 0 if k>n or if k<0.
EXAMPLE
Triangle begins:
1
0, 1
1, 0, 2
0, 11, 0, 4
25, 0, 72, 0, 8
0, 589, 0, 340, 0, 16
2025, 0, 7010, 0, 1328, 0, 32
0, 75319, 0, 55160, 0, 4592, 0, 64
CROSSREFS
KEYWORD
AUTHOR
Philippe Deléham, Oct 27 2013
STATUS
approved