A291957 - OEIS

%I #18 Sep 07 2017 02:46:09

%S 1,0,1,0,-1,0,1,1,0,0,-1,0,-1,0,0,1,1,1,0,0,-1,-1,0,-1,1,0,0,2,0,0,0,

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

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

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

%H Seiichi Manyama, <a href="/A291957/b291957.txt">Rows n = 0..481, flattened</a>

%e First few rows are:

%e   1;

%e   0,  1;

%e   0, -1;

%e   0,  1,  1;

%e   0,  0, -1;

%e   0, -1,  0;

%e   0,  1,  1,  1;

%e   0,  0, -1, -1;

%e   0, -1,  1,  0;

%e   0,  2,  0,  0;

%e   0, -2, -2,  0, 1.

%Y Row sums give A291958.

%Y Columns 0-1 give A000007, (-1)*A111165 (for n>0).

%K sign,tabf

%O 0,28

%A _Seiichi Manyama_, Sep 06 2017