cp's OEIS Frontend

A194010 Mirror of the triangle A194009.

%I A194010 #5 Mar 30 2012 18:57:39
%S A194010 2,5,3,13,7,4,28,17,9,5,58,35,21,11,6,114,70,42,25,13,7,218,134,82,49,
%T A194010 29,15,8,407,251,154,94,56,33,17,9,747,461,284,174,106,63,37,19,10,
%U A194010 1352,835,515,317,194,118,70,41,21,11,2420,1495,923,569,350,214
%N A194010 Mirror of the triangle A194009.
%C A194010 A194010 is obtained by reversing the rows of the triangle A194009.
%F A194010 Write w(n,k) for the triangle at A194009.  The triangle at A194010 is then given by w(n,n-k).
%e A194010 First six rows:
%e A194010 2
%e A194010 5.....3
%e A194010 13....7....4
%e A194010 28....17...9....5
%e A194010 58....35...21...11...6
%e A194010 114...70...42...25...13...7
%t A194010 z = 11;
%t A194010 p[n_, x_] := x*p[n - 1, x] + n + 1; p[0, n_] := 1;
%t A194010 q[n_, x_] := Sum[Fibonacci[k + 1]*x^(n - k), {k, 0, n}];
%t A194010 p1[n_, k_] := Coefficient[p[n, x], x^k];
%t A194010 p1[n_, 0] := p[n, x] /. x -> 0;
%t A194010 d[n_, x_] := Sum[p1[n, k]*q[n - 1 - k, x], {k, 0, n - 1}]
%t A194010 h[n_] := CoefficientList[d[n, x], {x}]
%t A194010 TableForm[Table[Reverse[h[n]], {n, 0, z}]]
%t A194010 Flatten[Table[Reverse[h[n]], {n, -1, z}]]  (* A194009 *)
%t A194010 TableForm[Table[h[n], {n, 0, z}]]
%t A194010 Flatten[Table[h[n], {n, -1, z}]]  (* A194010 *)
%Y A194010 Cf. A194009.
%K A194010 nonn,tabl
%O A194010 0,1
%A A194010 _Clark Kimberling_, Aug 11 2011