A291955 - OEIS

%I #13 Sep 06 2017 14:16:56

%S 1,0,1,0,0,0,0,1,0,-1,0,0,0,0,0,0,-1,1,0,1,0,0,0,0,-1,0,0,1,1,-1,0,-1,

%T 0,0,1,0,0,2,-1,0,0,-2,-1,1,0,0,1,1,-1,-1,0,-1,-3,2,0,0,3,2,-1,-1,1,0,

%U -2,-3,2,1,0,0,3,4,-3,-1,0,0,-4,-4,3,2,-1,0,4

%N Triangle read by rows: T(n,k) = T(n-k,k-1) - T(n-k,k+1) with T(0,0) = 1 for 0 <= k <= A003056(n).

%H Seiichi Manyama, <a href="/A291955/b291955.txt">Rows n = 0..481, flattened</a>

%e First few rows are:

%e   1;

%e   0,  1;

%e   0,  0;

%e   0,  0,  1;

%e   0, -1,  0;

%e   0,  0,  0;

%e   0,  0, -1,  1;

%e   0,  1,  0,  0;

%e   0,  0, -1,  0;

%e   0,  1,  1, -1;

%e   0, -1,  0,  0, 1.

%Y Row sums give A291956.

%Y Columns 0-1 give A000007, A049346.

%Y Cf. A291904.

%K sign,tabf

%O 0,38

%A _Seiichi Manyama_, Sep 06 2017