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%I #28 Feb 03 2023 03:16:41
%S 0,1,1,-1,1,1,0,1,-1,1,1,1,2,-1,1,-1,1,1,2,3,0,3,-2,1,-1,1,1,3,4,2,6,
%T -2,4,-3,1,-1,1,1,4,5,5,10,0,10,-5,5,-4,1,-1,1,1,5,6,9,15,5,20,-5,15,
%U -9,6,-5,1,-1,1,1,6,7,14,21,14,35,0,35,-14,21,-14,7,-6,1,-1,1,1,7,8,20,28
%N Triangle read by rows; union of A007318 and A112467.
%F T(n, k) = T(n-1, k-1) + T(n-1, k+1), for n > 2 and T(n, k) = 0 for negative k or k > 2*n-1. - _Thomas Scheuerle_, Feb 02 2023
%e Triangle begins:
%e 0
%e 1 1 -1
%e 1 1 0 1 -1
%e 1 1 1 2 -1 1 -1
%e 1 1 2 3 0 3 -2 1 -1
%e 1 1 3 4 2 6 -2 4 -3 1 -1
%o (MATLAB)
%o function a = A177457( max_row )
%o a = [0 1 1 -1];
%o for n = 3:max_row
%o r = [0 0 a(end-((n-2)*2):end) 0 0];
%o a = [a r(1:end-2)+r(3:end)];
%o end
%o end % _Thomas Scheuerle_, Feb 02 2023
%Y Cf. A007318, A112467.
%K tabf,sign
%O 1,13
%A _Mark Dols_, May 09 2010
%E More terms from _Thomas Scheuerle_, Feb 02 2023
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