cp's OEIS Frontend

A193980 Mirror of the triangle A193979.

%I A193980 #5 Mar 30 2012 18:57:39
%S A193980 1,3,2,9,5,3,21,13,7,4,41,28,17,9,5,71,52,35,21,11,6,113,87,63,42,25,
%T A193980 13,7,169,135,103,74,49,29,15,8,241,198,157,119,85,56,33,17,9,331,278,
%U A193980 227,179,135,96,63,37,19,10,441,377,315,256,201,151,107,70,41,21,11
%N A193980 Mirror of the triangle A193979.
%C A193980 A193980 is obtained by reversing the rows of the triangle A193977.
%F A193980 Write w(n,k) for the triangle at A193979.  The triangle at A193980 is then given by w(n,n-k).
%e A193980 First six rows:
%e A193980 1
%e A193980 3....2
%e A193980 9....5....3
%e A193980 21...13...7....4
%e A193980 41...28...17...9....5
%e A193980 71...52...35...21...11...6
%t A193980 z = 11;
%t A193980 p[0, x_] := 1; p[n_, x_] := x*p[n - 1, x] + n;
%t A193980 q[n_, x_] := p[n, x];
%t A193980 p1[n_, k_] := Coefficient[p[n, x], x^k];
%t A193980 p1[n_, 0] := p[n, x] /. x -> 0;
%t A193980 d[n_, x_] := Sum[p1[n, k]*q[n - 1 - k, x], {k, 0, n - 1}]
%t A193980 h[n_] := CoefficientList[d[n, x], {x}]
%t A193980 TableForm[Table[Reverse[h[n]], {n, 0, z}]]
%t A193980 Flatten[Table[Reverse[h[n]], {n, -1, z}]]  (* A193979 *)
%t A193980 TableForm[Table[h[n], {n, 0, z}]]
%t A193980 Flatten[Table[h[n], {n, -1, z}]]  (* A193980 *)
%Y A193980 Cf. A193979.
%K A193980 nonn,tabl
%O A193980 0,2
%A A193980 _Clark Kimberling_, Aug 10 2011