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Triangular array: (1/2)*A193846.
3

%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