This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A171567 #11 Sep 08 2013 19:59:26
%S A171567 1,-1,1,2,-2,1,-5,5,-3,1,14,-14,9,-4,1,-42,42,-28,14,-5,1,132,-132,90,
%T A171567 -48,20,-6,1,-429,429,-297,165,-75,27,-7,1,1430,-1430,1001,-572,275,
%U A171567 -110,35,-8,1,-4862,4862,-3432,2002,-1001,429,-154,44,-9,1
%N A171567 Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A168491.
%C A171567 Equal to B^(-2)*A054336, B = A007318. T(n,0)=(-1)^n*A000108(n). Unsigned version in A033184.
%F A171567 T(n,k) = (-1)^(n-k)*(k+1)*binomial(2n-k, n-k)/(n+1), 0<=k<=n; else 0.
%F A171567 T(n,k) = T(n-1,k-1) - T(n-1,k) + sum_{i, i>=0} T(n-1,k+1+i)*(-1)^i. - _Philippe Deléham_, Feb 23 2012
%e A171567 Triangle begins : 1 ; -1,1 ; 2,-2,1 ; -5,5,-3,1 ; 14,-14,9,-4,1 ;...
%Y A171567 Cf. A033184, A171488, A054336, A154930
%K A171567 sign,tabl
%O A171567 0,4
%A A171567 _Philippe Deléham_, Dec 11 2009