%I #9 Nov 02 2016 15:25:16
%S 1,10,-1,100,-30,1,1000,-500,50,-1,10000,-7000,1300,-70,1,100000,
%T -90000,25000,-2500,90,-1,1000000,-1100000,410000,-63000,4100,-110,1,
%U 10000000,-13000000,6100000,-1290000,129000,-6100,130,-1
%N Signed Delannoy triangle convolved with 10^n
%C Row sums give A178869
%F T(n,k) = A008288(n,k)*(-10)^(n-k)*(-1)^n, A008288 seen as a triangle read by rows. - _Philippe Deléham_, Feb 27 2013
%e Triangle begins:
%e 1
%e 10, -1
%e 100, -30, 1
%e 1000, -500, 50, -1
%e 10000, -7000, 1300, -70, 1
%e 100000, -90000, 25000, -2500, 90, -1
%e 1000000, -1100000, 410000, -63000, 4100, -110, 1
%e 10000000, -13000000, 6100000, -1290000, 129000, -6100, 130, -1
%Y Cf. A008288, A165293, A178865, A178869
%K sign,tabl
%O 0,2
%A _Mark Dols_, Jun 20 2010
%E More terms from _Philippe Deléham_, Feb 27 2013