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 A047991 #17 Sep 25 2021 06:51:21 %S A047991 1,1,-1,1,1,-2,1,-2,-5,6,1,2,-13,-14,24,1,-3,-23,51,94,-120,1,3,-41, %T A047991 -87,400,444,-720,1,-4,-62,200,1009,-2356,-3828,5040,1,4,-94,-296, %U A047991 2609,5716,-22676,-25584,40320,1,-5,-130,550,5273,-17765,-74120,178500,270576,-362880 %N A047991 Triangle formed from expansion of (x-1)(x+2)(x-3)...(x+-n). %D A047991 Studied by M. Bhargava (bhargava(AT)math.Princeton.EDU) and H. S. Wilf. %H A047991 T. D. Noe, <a href="/A047991/b047991.txt">Rows n=0..100 of triangle, flattened</a> %e A047991 Triangle begins %e A047991 1; %e A047991 1, -1; %e A047991 1, 1, -2; %e A047991 1, -2, -5, 6; %e A047991 1, 2, -13, -14, 24; %e A047991 1, -3, -23, 51, 94, -120; %e A047991 1, 3, -41, -87, 400, 444, -720; %e A047991 1, -4, -62, 200, 1009, -2356, -3828, 5040; %e A047991 1, 4, -94, -296, 2609, 5716, -22676, -25584, 40320; %t A047991 With[{nn=10},Flatten[Table[Reverse[CoefficientList[Series[Times@@ Table[x+n (-1)^n,{n,i}],{x,0,nn}],x]],{i,0,nn}]]] (* _Harvey P. Dale_, Aug 28 2012 *) %Y A047991 A047990 gives sums of absolute values of rows. %K A047991 sign,tabl,easy,nice %O A047991 0,6 %A A047991 _N. J. A. Sloane_