%I #10 Feb 18 2024 14:43:50
%S 1,2,4,4,14,13,8,40,68,40,16,104,256,284,121,32,256,824,1336,1094,364,
%T 64,608,2416,5144,6196,4010,1093,128,1408,6656,17536,27824,26608,
%U 14216,3280,256,3200,17536,55040,108256,136688,108256,49208,9841,512
%N Triangular array: (1/2)*A193846.
%H Andrew Howroyd, <a href="/A193848/b193848.txt">Table of n, a(n) for n = 0..1325</a> (rows 0..50)
%F G.f.: 1/(1 - 2*(1 + 2*y)*x + y*(2 + 3*y)*x^2). - _Andrew Howroyd_, Feb 18 2024
%e Triangle begins:
%e 1;
%e 2, 4;
%e 4, 14, 13;
%e 8, 40, 68, 40;
%e 16, 104, 256, 284, 121;
%e 32, 256, 824, 1336, 1094, 364;
%e 64, 608, 2416, 5144, 6196, 4010, 1093;
%e 128, 1408, 6656, 17536, 27824, 26608, 14216, 3280;
%e ...
%t (See A193846.)
%o (PARI) T(n)={[Vecrev(p) | p<-Vec(1/(1 - 2*(1 + 2*y)*x + y*(2 + 3*y)*x^2) + O(x*x^n))]}
%o { my(A=T(10)); for(i=1, #A, print(A[i])) } \\ _Andrew Howroyd_, Feb 18 2024
%Y Cf. A193846.
%K nonn,tabl
%O 0,2
%A _Clark Kimberling_, Aug 07 2011