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%I #12 Jan 22 2020 14:28:03
%S 1,2,1,4,5,1,8,18,8,1,16,56,41,11,1,32,160,170,73,14,1,64,432,620,377,
%T 114,17,1,128,1120,2072,1666,704,164,20,1,256,2816,6496,6608,3649,
%U 1178,223,23,1,512,6912,19392,24192,16722,7001,1826,291,26,1,1024,16640
%N Riordan array (1/(1-2x), x(1-x)/(1-2x)^2).
%C Row sums are A081567. Diagonal sums are A085810. Product of Pascal triangle A007318 and Morgan-Voyce triangle A085478.
%C Unsigned version of A123876. - _Philippe Deléham_, Oct 25 2007
%F Number triangle T(n,k) = Sum_{j=0..n} C(n, j)*C(j+k, 2k);
%F T(n,k) = Sum_{j=0..n} C(n, k+j)*C(k, k-j)*2^(n-k-j)};
%F T(n, k) = Sum_{j=0..n-k} C(n+k-j, n-k-j)*C(k, j)*(-1)^j*2^(n-k-j).
%F T(n,k) = 4*T(n-1,k) + T(n-1,k-1) - 4*T(n-2,k) - T(n-2,k-1), T(0,0) = T(1,1) = 1, T(1,0) = 2, T(n,k) = 0 if k < 0 or if k > n. - _Philippe Deléham_, Jan 17 2014
%e Triangle begins
%e 1;
%e 2, 1;
%e 4, 5, 1;
%e 8, 18, 8, 1;
%e 16, 56, 41, 11, 1;
%e 32, 160, 170, 73, 14, 1;
%K easy,nonn,tabl
%O 0,2
%A _Paul Barry_, Nov 15 2005
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