cp's OEIS Frontend

A193859 Mirror of the triangle A193858.

%I A193859 #6 Mar 30 2012 18:57:39
%S A193859 1,3,2,7,10,4,15,34,28,8,31,98,124,72,16,63,258,444,392,176,32,127,
%T A193859 642,1404,1672,1136,416,64,255,1538,4092,6152,5616,3104,960,128,511,
%U A193859 3586,11260,20488,23536,17440,8128,2176,256,1023,8194,29692,63496
%N A193859 Mirror of the triangle A193858.
%C A193859 A193859 is obtained by reversing the rows of the triangle A193858.
%F A193859 Write w(n,k) for the triangle at A193858.  The triangle at A193859 is then given by w(n,n-k).
%e A193859 First six rows:
%e A193859 1
%e A193859 3....2
%e A193859 7....10...4
%e A193859 15...34...28...8
%e A193859 31...98...124..72...16
%e A193859 63...258..444..392..176..32
%t A193859 z = 10;
%t A193859 p[n_, x_] := (x + 1)^n;
%t A193859 q[n_, x_] := (2 x + 1)^n;
%t A193859 p1[n_, k_] := Coefficient[p[n, x], x^k];
%t A193859 p1[n_, 0] := p[n, x] /. x -> 0;
%t A193859 d[n_, x_] := Sum[p1[n, k]*q[n - 1 - k, x], {k, 0, n - 1}]
%t A193859 h[n_] := CoefficientList[d[n, x], {x}]
%t A193859 TableForm[Table[Reverse[h[n]], {n, 0, z}]]
%t A193859 Flatten[Table[Reverse[h[n]], {n, -1, z}]]  (* A193858 *)
%t A193859 TableForm[Table[h[n], {n, 0, z}]]
%t A193859 Flatten[Table[h[n], {n, -1, z}]]   (* A193859 *)
%Y A193859 Cf. A193858.
%K A193859 nonn,tabl
%O A193859 0,2
%A A193859 _Clark Kimberling_, Aug 07 2011