cp's OEIS Frontend

A193791 Mirror of the triangle A193790.

%I A193791 #4 Mar 30 2012 18:57:38
%S A193791 1,1,1,3,2,1,9,4,4,1,27,8,12,6,1,81,16,32,24,8,1,243,32,80,80,40,10,1,
%T A193791 729,64,192,240,160,60,12,1,2187,128,448,672,560,280,84,14,1,6561,256,
%U A193791 1024,1792,1792,1120,448,112,16,1,19683,512,2304,4608,5376,4032
%N A193791 Mirror of the triangle A193790.
%C A193791 A193791 is obtained by reversing the rows of the triangle A193790.
%F A193791 Write w(n,k) for the triangle at A193790.  The triangle at A193791 is then given by w(n,n-k).
%e A193791 First six rows:
%e A193791 1
%e A193791 1....1
%e A193791 3....2....1
%e A193791 9....4....4....1
%e A193791 27..8....12....6...1
%e A193791 81...16...32....24...8....1
%t A193791 z = 10; a = 2; b = 1;
%t A193791 p[n_, x_] := (a*x + b)^n
%t A193791 q[n_, x_] := 1 + x^n ; q[n_, 0] := q[n, x] /. x -> 0;
%t A193791 t[n_, k_] := Coefficient[p[n, x], x^k]; t[n_, 0] := p[n, x] /. x -> 0;
%t A193791 w[n_, x_] := Sum[t[n, k]*q[n + 1 - k, x], {k, 0, n}]; w[-1, x_] := 1
%t A193791 g[n_] := CoefficientList[w[n, x], {x}]
%t A193791 TableForm[Table[Reverse[g[n]], {n, -1, z}]]
%t A193791 Flatten[Table[Reverse[g[n]], {n, -1, z}]]  (* A193790 *)
%t A193791 TableForm[Table[g[n], {n, -1, z}]]
%t A193791 Flatten[Table[g[n], {n, -1, z}]]  (* A193791 *)
%Y A193791 Cf. A193790.
%K A193791 nonn,tabl
%O A193791 0,4
%A A193791 _Clark Kimberling_, Aug 05 2011