OFFSET
0,5
COMMENTS
For more information see A308326. There you'll find formulas for the general case depending on some fixed integer q.
EXAMPLE
The triangle T(3; n,k) starts:
n\ k: 0 1 2 3 4 5 6
==========================================================
0: 1
1: 1 -1
2: 1 -5 4
3: 1 -21 72 -52
4: 1 -85 1020 -3016 2080
5: 1 -341 13600 -133900 372320 -251680
6: 1 -1365 178164 -5532800 50406720 -136662240 91611520
etc.
PROG
(PARI) { T(n, k) = if( k<0 || k>n, 0, if( k==0, 1, (3^(k+1) - 1)/2 * T(n-1, k) - (3^k - 1)/2 * T(n-1, k-1)))};
for(n=0, 7, for(k=0, n, print1(T(n, k), ", ")))
CROSSREFS
KEYWORD
sign,tabl
AUTHOR
Werner Schulte, Nov 05 2019
STATUS
approved