OFFSET
0,4
COMMENTS
FORMULA
Number triangle T(n, k)=2^(n-k)*LegendreP(n-k, k); T(n, k)=sum{j=0..floor((n-k)/2), (-1)^j*C(n-k, j)C(2n-2k-2j, n-k)k^(n-k-2j)}.
EXAMPLE
Rows begin
1;
0,1;
-2,2,1;
0,4,4,1;
6,8,22,6,1;
0,16,136,62,8,1;
-20,32,886,504,94,10,1;
PROG
(PARI) T(n, k)=pollegendre(n-k, k)<<(n-k) \\ Charles R Greathouse IV, Mar 18 2017
CROSSREFS
KEYWORD
AUTHOR
Paul Barry, Jul 13 2005
STATUS
approved