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 A186024 #7 Mar 21 2013 14:48:36 %S A186024 1,-1,1,-1,-1,1,-1,-3,-1,1,-1,-6,-5,-1,1,-1,-10,-15,-7,-1,1,-1,-15, %T A186024 -35,-28,-9,-1,1,-1,-21,-70,-84,-45,-11,-1,1,-1,-28,-126,-210,-165, %U A186024 -66,-13,-1,1,-1,-36,-210,-462,-495,-286,-91,-15,-1,1,-1,-45,-330,-924,-1287,-1001,-455,-120,-17,-1,1 %N A186024 Inverse of eigentriangle of triangle A085478. %C A186024 Row sums are A186025. %F A186024 T(n,k)=if(k<n, -binomial(n+k-1,n-k-1), if(k=n,1,0)). %e A186024 Triangle begins %e A186024 1, %e A186024 -1, 1, %e A186024 -1, -1, 1, %e A186024 -1, -3, -1, 1, %e A186024 -1, -6, -5, -1, 1, %e A186024 -1, -10, -15, -7, -1, 1, %e A186024 -1, -15, -35, -28, -9, -1, 1, %e A186024 -1, -21, -70, -84, -45, -11, -1, 1, %e A186024 -1, -28, -126, -210, -165, -66, -13, -1, 1, %e A186024 -1, -36, -210, -462, -495, -286, -91, -15, -1, 1, %e A186024 -1, -45, -330, -924, -1287, -1001, -455, -120, -17, -1, 1 %Y A186024 Cf. A129818, A109954, A220670, A123970, A085478, A165253. %K A186024 sign,tabl,easy %O A186024 0,8 %A A186024 _Paul Barry_, Feb 10 2011