%I #6 Sep 08 2013 13:30:57
%S 1,-1,1,0,0,0,1,-3,3,-1,0,0,0,0,0,-2,10,-20,20,-10,2,0,0,0,0,0,0,0,5,
%T -35,105,-175,175,-105,35,-5,0,0,0,0,0,0,0,0,0,-14,126,-504,1176,
%U -1764,1764,-1176,504,-126,14,0,0,0,0,0,0,0,0,0,0,0
%N Triangle T(n,k), 0<=k<=n, read by rows given by [ -1,1,-1,1,-1,1,-1,1,-1,1,...] DELTA [1,-1,1,-1,1,-1,1,-1,1,-1,...] where DELTA is the operator defined in A084938.
%F T(n,k)=(-1)^k*A105523(n)*binomial(n,k) . T(n,n)=A090192(n) . Sum_{k, 0<=k<=n}T(n,k)= 0^n= A000007(n).
%e Triangle begins:
%e 1;
%e -1, 1;
%e 0, 0, 0;
%e 1, -3, 3, -1;
%e 0, 0, 0, 0, 0;
%e -2, 10, -20, 20, -10, 2;
%e 0, 0, 0, 0, 0, 0, 0;
%e 5, -35, 105, -175, 175, -106, 35, -5;
%e 0, 0, 0, 0, 0, 0, 0, 0, 0;
%Y Cf. A000108, A007318.
%K sign,tabl
%O 0,8
%A _Philippe Deléham_, Oct 08 2006
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