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 A171616 #3 Sep 08 2013 13:31:52 %S A171616 1,0,1,1,0,1,2,3,0,1,6,8,6,0,1,18,30,20,10,0,1,57,108,90,40,15,0,1, %T A171616 186,399,378,210,70,21,0,1,622,1488,1596,1008,420,112,28,0,1,2120, %U A171616 5598,6696,4788,2268,756,168,36,0,1,7338,21200,27990,22320,11970,4536,1260,240,45 %N A171616 Triangle T : T(n,k)= binomial(n,k)*A000957(n+1-k). %F A171616 Sum_{k, 0<=k<=n} T(n,k)*x^k = A000957(n+1), A033321(n), A033543(n) for x = 0,1,2 respectively. Sum_{k, 0<=k<=n} T(n,k)*(-1)^(n-k)*x^k = A054341(n), A059738(n), A049027(n+1) for x = 2,3,4 respectively. %e A171616 Triangle begins : 1 ; 0,1 ; 1,0,1 ; 2,3,0,1 ; 6,8,6,0,1 ; 18,30,20,10,0,1 ; ... %Y A171616 Cf. A007318 %K A171616 nonn,tabl %O A171616 0,7 %A A171616 _Philippe Deléham_, Dec 13 2009