%I #6 Mar 30 2012 18:58:14
%S 1,3,5,2,7,10,9,28,4,11,60,28,13,110,108,8,15,182,308,72,17,280,728,
%T 352,16,19,408,1512,1248,176,21,570,2856,3600,1040,32,23,770,5016,
%U 8976,4400,416,25,1012,8316,20064,14960,2880,64,27,1300,13156,41184
%N Triangle of coefficients of polynomials v(n,x) jointly generated with A208753; see the Formula section.
%C For a discussion and guide to related arrays, see A208510.
%F u(n,x)=u(n-1,x)+2x*v(n-1,x),
%F v(n,x)=u(n-1,x)+v(n-1,x)+1,
%F where u(1,x)=1, v(1,x)=1.
%e First five rows:
%e 1
%e 3
%e 5...2
%e 7...10
%e 9...28...4
%e First five polynomials v(n,x):
%e 1
%e 3
%e 5 + 2x
%e 7 + 10x
%e 9 + 28x + 4x^2
%t u[1, x_] := 1; v[1, x_] := 1; z = 16;
%t u[n_, x_] := u[n - 1, x] + 2 x*v[n - 1, x];
%t v[n_, x_] := u[n - 1, x] + v[n - 1, x] + 1;
%t Table[Expand[u[n, x]], {n, 1, z/2}]
%t Table[Expand[v[n, x]], {n, 1, z/2}]
%t cu = Table[CoefficientList[u[n, x], x], {n, 1, z}];
%t TableForm[cu]
%t Flatten[%] (* A208753 *)
%t Table[Expand[v[n, x]], {n, 1, z}]
%t cv = Table[CoefficientList[v[n, x], x], {n, 1, z}];
%t TableForm[cv]
%t Flatten[%] (* A208754 *)
%Y Cf. A208753, A208510.
%K nonn,tabf
%O 1,2
%A _Clark Kimberling_, Mar 03 2012
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