cp's OEIS Frontend

A193909 Mirror of the triangle A193908.

%I A193909 #5 Mar 30 2012 18:57:39
%S A193909 1,1,2,3,6,8,6,12,20,24,11,22,40,64,80,19,38,72,128,208,256,32,64,124,
%T A193909 232,416,672,832,53,106,208,400,752,1344,2176,2688,87,174,344,672,
%U A193909 1296,2432,4352,7040,8704,142,284,564,1112,2176,4192,7872,14080,22784
%N A193909 Mirror of the triangle A193908.
%C A193909 A193909 is obtained by reversing the rows of the triangle A193908.
%F A193909 Write w(n,k) for the triangle at A193908.  The triangle at A193909 is then given by w(n,n-k).
%e A193909 First six rows:
%e A193909 1
%e A193909 1....2
%e A193909 3....6....8
%e A193909 6....12...20...24
%e A193909 11...22...40...64....80
%e A193909 19...38...72...128...208...256
%t A193909 z = 12;
%t A193909 p[n_, x_] := Sum[Fibonacci[k + 2]*x^(n - k), {k, 0, n}];
%t A193909 q[n_, x_] := 2 x*q[n - 1, x] + 1 ; q[0, x_] := 1;
%t A193909 t[n_, k_] := Coefficient[p[n, x], x^k]; t[n_, 0] := p[n, x] /. x -> 0;
%t A193909 w[n_, x_] := Sum[t[n, k]*q[n + 1 - k, x], {k, 0, n}]; w[-1, x_] := 1
%t A193909 g[n_] := CoefficientList[w[n, x], {x}]
%t A193909 TableForm[Table[Reverse[g[n]], {n, -1, z}]]
%t A193909 Flatten[Table[Reverse[g[n]], {n, -1, z}]]  (* A193908 *)
%t A193909 TableForm[Table[g[n], {n, -1, z}]]
%t A193909 Flatten[Table[g[n], {n, -1, z}]]  (* A193909 *)
%Y A193909 Cf. A193908.
%K A193909 nonn,tabl
%O A193909 0,3
%A A193909 _Clark Kimberling_, Aug 09 2011