A292142 - OEIS

A292142

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

%I #14 Sep 17 2017 03:57:20

%S 1,0,-4,0,-4,0,-4,-4,0,-4,-4,0,-4,-8,0,-4,-8,16,0,-4,-12,16,0,-4,-12,

%T 32,0,-4,-16,48,0,-4,-16,64,16,0,-4,-20,80,16,0,-4,-20,112,32,0,-4,

%U -24,128,48,0,-4,-24,160,80,0,-4,-28,192,96,-64,0,-4,-28,224,144

%N Triangle read by rows: T(n,k) = (-4)^(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="/A292142/b292142.txt">Rows n = 0..481, flattened</a>

%e First few rows are:

%e 1;

%e 0, -4;

%e 0, -4, -4;

%e 0, -4, -8;

%e 0, -4, -8, 16;

%e 0, -4, -12, 16;

%e 0, -4, -12, 32;

%e 0, -4, -16, 48;

%e 0, -4, -16, 64, 16.

%Y Row sums give A292135.

%Y Columns 0-1 give A000007, (-4)*A000012.

%Y Cf. A292047.

%K sign,tabf

%O 0,3

%A _Seiichi Manyama_, Sep 09 2017