OFFSET
0,8
COMMENTS
Row sums divided by 2^floor(n/2) are the Euler up/down numbers A000111 with signs.
EXAMPLE
Triangle starts:
[0] 1
[1] 1, 0
[2] -1, -1, 0
[3] 0, -4, 0, 0
[4] -1, 11, 11, -1, 0
[5] -1, 0, 66, 0, -1, 0
[6] 1, 57, -302, -302, 57, 1, 0
[7] 0, 120, 0, -2416, 0, 120, 0, 0
[8] 1, -247, -4293, 15619, 15619, -4293, -247, 1, 0
[9] 1, 0, -14608, 0, 156190, 0, -14608, 0, 1, 0
.
MAPLE
U := (n, k) -> combinat:-eulerian1(n, k):
Trow := n -> seq(coeff(A337966(n, x, U), z, k), k=0..n):
seq(lprint([n], Trow(n)), n=0..9);
CROSSREFS
KEYWORD
sign,tabl
AUTHOR
Peter Luschny, Oct 04 2020
STATUS
approved