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 A191532 #6 Mar 30 2012 18:52:06
%S A191532 1,0,3,0,1,5,0,1,2,7,0,1,2,3,9,0,1,2,3,4,11,0,1,2,3,4,5,13,0,1,2,3,4,
%T A191532 5,6,15,0,1,2,3,4,5,6,7,17,0,1,2,3,4,5,6,7,8,19,0,1,2,3,4,5,6,7,8,9,
%U A191532 21,0,1,2,3,4,5,6,7,8,9,10,23,0,1,2,3,4,5,6,7,8,9,10,11,25,0,1,2,3,4,5,6,7,8,9,10,11,12,27
%N A191532 Triangle T(n,k) read by rows: T(n,n) = 2n+1, T(n,k)=k for k<n.
%C A191532 We can build products of linear polynomials with these T(n,k) defining the absolute terms:
%C A191532 1+n = A000027(1+n) =2, 3, 4, 5, 6, 7,
%C A191532 n*(3+n)/2 = A000096(1+n) =2, 5, 9, 14, 20, 27,
%C A191532 n*(1+n)*(5+n)/6 = A005581(2+n) =2, 7, 16, 30, 50, 77,
%C A191532 n*(1+n)*(2+n)*(7+n)/24 = A005582(1+n) =2, 9, 25, 55, 105, 182,
%C A191532 n*(1+n)*(2+n)*(3+n)*(9+n)/120 = A005583(n) =2, 11, 36, 91, 196, 378,
%C A191532 n*(1+n)*(2+n)*(3+n)*(4+n)*(11+n)/720 = A005584(n)=2, 13, 49, 140, 336, 714,
%F A191532 T(n,k) = A002262(n-1,k).
%F A191532 sum_{k=0..n} T(n,k) = A000217(1+n).
%e A191532 1;
%e A191532 0,3;
%e A191532 0,1,5;
%e A191532 0,1,2,7;
%e A191532 0,1,2,3,9;
%e A191532 0,1,2,3,4,11;
%Y A191532 Cf. A191302.
%K A191532 nonn,easy,tabl
%O A191532 0,3
%A A191532 _Paul Curtz_, Jun 05 2011