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Signed Delannoy triangle convolved with 10^n
0

%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