cp's OEIS Frontend

A193916 Mirror of the triangle A193915.

%I A193916 #5 Mar 30 2012 18:57:39
%S A193916 1,1,2,2,4,4,4,8,12,16,7,14,24,40,48,12,24,44,80,128,160,20,40,76,144,
%T A193916 256,416,512,33,66,128,248,464,832,1344,1664,54,108,212,416,800,1504,
%U A193916 2688,4352,5376,88,176,348,688,1344,2592,4864,8704,14080,17408
%N A193916 Mirror of the triangle A193915.
%C A193916 A193916 is obtained by reversing the rows of the triangle A193915.
%F A193916 Write w(n,k) for the triangle at A193915.  The triangle at A193916 is then given by w(n,n-k).
%e A193916 First six rows:
%e A193916 1
%e A193916 1....2
%e A193916 2....4....4
%e A193916 4....8....12...16
%e A193916 7....14...24...40...48
%e A193916 12...24...44...80...128...160
%t A193916 z = 12;
%t A193916 p[n_, x_] := Sum[Fibonacci[k + 2]*x^(n - k), {k, 0, n}];
%t A193916 q[n_, x_] := 2 x*q[n - 1, x] + 1 ; q[0, x_] := 1;
%t A193916 t[n_, k_] := Coefficient[p[n, x], x^k]; t[n_, 0] := p[n, x] /. x -> 0;
%t A193916 w[n_, x_] := Sum[t[n, k]*q[n + 1 - k, x], {k, 0, n}]; w[-1, x_] := 1
%t A193916 g[n_] := CoefficientList[w[n, x], {x}]
%t A193916 TableForm[Table[Reverse[g[n]], {n, -1, z}]]
%t A193916 Flatten[Table[Reverse[g[n]], {n, -1, z}]]  (* A193908 *)
%t A193916 TableForm[Table[g[n], {n, -1, z}]]
%t A193916 Flatten[Table[g[n], {n, -1, z}]]  (* A193909 *)
%Y A193916 Cf. A193915, A193909.
%K A193916 nonn,tabl
%O A193916 0,3
%A A193916 _Clark Kimberling_, Aug 09 2011