OFFSET
0,5
COMMENTS
See the comments in A318254.
FORMULA
T(m, n, k) = binomial(m*n-1, m*(n-k))*A318253(m, k) for k>0 and 1 for k=0. We consider here the case m=3.
EXAMPLE
Triangle starts:
[0] 1
[1] 1, 1
[2] 1, 10, -9
[3] 1, 28, -504, 477
[4] 1, 55, -4158, 78705, -74601
[5] 1, 91, -18018, 1432431, -27154764, 25740261
[6] 1, 136, -55692, 11595870, -923261976, 17503377480, -16591655817
MAPLE
# The function TNum is defined in A318253.
T := (m, n, k) -> `if`(k=0, 1, binomial(m*n-1, m*(n-k))*TNum(m, k)):
for n from 0 to 6 do seq(T(3, n, k), k=0..n) od;
PROG
(Sage) # uses[AssociatedOmegaNumberTriangle from A318254]
A318255Triangle = lambda dim: AssociatedOmegaNumberTriangle(3, dim)
print(A318255Triangle(8))
CROSSREFS
KEYWORD
sign,tabl
AUTHOR
Peter Luschny, Aug 26 2018
STATUS
approved