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A292047 Triangle read by rows: T(n,k) = (-1)^k * T(n-k,k-1) + T(n-k,k) with T(0,0) = 1 for 0 <= k <= A003056(n).

%I A292047 #15 Sep 08 2017 10:07:07
%S A292047 1,0,-1,0,-1,0,-1,-1,0,-1,-1,0,-1,-2,0,-1,-2,1,0,-1,-3,1,0,-1,-3,2,0,
%T A292047 -1,-4,3,0,-1,-4,4,1,0,-1,-5,5,1,0,-1,-5,7,2,0,-1,-6,8,3,0,-1,-6,10,5,
%U A292047 0,-1,-7,12,6,-1,0,-1,-7,14,9,-1,0,-1,-8,16,11,-2,0,-1
%N A292047 Triangle read by rows: T(n,k) = (-1)^k * T(n-k,k-1) + T(n-k,k) with T(0,0) = 1 for 0 <= k <= A003056(n).
%H A292047 Seiichi Manyama, <a href="/A292047/b292047.txt">Rows n = 0..481, flattened</a>
%e A292047 First few rows are:
%e A292047   1;
%e A292047   0, -1;
%e A292047   0, -1;
%e A292047   0, -1, -1;
%e A292047   0, -1, -1;
%e A292047   0, -1, -2;
%e A292047   0, -1, -2, 1;
%e A292047   0, -1, -3, 1;
%e A292047   0, -1, -3, 2;
%e A292047   0, -1, -4, 3;
%e A292047   0, -1, -4, 4, 1.
%Y A292047 Row sums give A278399.
%Y A292047 Columns 0-1 give A000007, (-1)*A000012.
%Y A292047 Cf. A292049.
%K A292047 sign,tabf,look
%O A292047 0,14
%A A292047 _Seiichi Manyama_, Sep 08 2017