OFFSET
0,4
FORMULA
L(n,k) = (k+1)*L(n-k,0).
E.g.f. of column 0 satisfies: G(x) = (1+x)/(1+2*x)*G(x+x^2); more formulas given in A179199.
EXAMPLE
Triangle L begins:
0;
1,0;
-2,2,0;
9,-4,3,0;
-64,18,-6,4,0;
620,-128,27,-8,5,0;
-7536,1240,-192,36,-10,6,0;
109032,-15072,1860,-256,45,-12,7,0;
-1809984,218064,-22608,2480,-320,54,-14,8,0;
33562944,-3619968,327096,-30144,3100,-384,63,-16,9,0;
-681799680,67125888,-5429952,436128,-37680,3720,-448,72,-18,10,0;
14980204800,-1363599360,100688832,-7239936,545160,-45216,4340,-512,81,-20,11,0; ...
where column_k = (k+1)*column_0: L(n,k) = (k+1)*L(n-k,0).
PROG
CROSSREFS
KEYWORD
sign
AUTHOR
Paul D. Hanna, Jul 09 2010
STATUS
approved