%I #14 Sep 17 2017 03:55:58

%S 1,0,1,0,1,0,1,-4,0,1,-4,0,1,-8,0,1,-8,-4,0,1,-12,-4,0,1,-12,-8,0,1,

%T -16,-12,0,1,-16,-16,16,0,1,-20,-20,16,0,1,-20,-28,32,0,1,-24,-32,48,

%U 0,1,-24,-40,80,0,1,-28,-48,96,16,0,1,-28,-56,144,16,0,1,-32

%N Triangle read by rows: T(n,k) = (-4)^(1 - k mod 2) * T(n-k,k-1) + T(n-k,k) with T(0,0) = 1 for 0 <= k <= A003056(n).

%H Seiichi Manyama, <a href="/A292143/b292143.txt">Rows n = 0..481, flattened</a>

%e First few rows are:

%e 1;

%e 0, 1;

%e 0, 1;

%e 0, 1, -4;

%e 0, 1, -4;

%e 0, 1, -8;

%e 0, 1, -8, -4;

%e 0, 1, -12, -4;

%e 0, 1, -12, -8;

%e 0, 1, -16, -12;

%e 0, 1, -16, -16, 16.

%Y Row sums give A292141.

%Y Columns 0-1 give A000007, A000012.

%Y Cf. A292049.

%K sign,tabf

%O 0,8

%A _Seiichi Manyama_, Sep 09 2017