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 A269942 #12 Nov 16 2024 23:21:07 %S A269942 1,0,-1,0,-1,1,0,-2,1,2,-1,0,-5,5,-1,5,-2,-3,1,0,-14,21,-3,-6,1,14, %T A269942 -12,2,-9,3,4,-1,0,-42,84,-28,-28,7,7,-1,42,-56,7,14,-2,-28,21,-3,14, %U A269942 -4,-5,1 %N A269942 Triangle read by rows, the coefficients of the inverse partial P-polynomials. %C A269942 The triangle of coefficients of the partial P-polynomials is A269941. For the definition of the inverse partial P-polynomials see the link 'P-transform'. %H A269942 Peter Luschny, <a href="http://oeis.org/wiki/User:Peter_Luschny/P-Transform">The P-transform</a>. %e A269942 [[1]], %e A269942 [[0], [-1]], %e A269942 [[0], [-1], [1]], %e A269942 [[0], [-2, 1], [2], [-1]], %e A269942 [[0], [-5, 5, -1], [5, -2], [-3], [1]], %e A269942 [[0], [-14, 21, -3, -6, 1], [14, -12, 2], [-9, 3], [4], [-1]], %e A269942 [[0], [-42,84,-28,-28,7,7,-1],[42,-56,7,14,-2],[-28,21,-3],[14,-4],[-5],[1]] %e A269942 Replacing the sublists by their sums reduces the triangle to a signed version of the triangle A097805. The column 1 of sublists is A111785 in a different order. %o A269942 (Sage) %o A269942 # For function PMultiCoefficients see A269941. %o A269942 PMultiCoefficients(7, inverse = True) %Y A269942 Cf. A097805, A111785, A268441, A268442, A269941. %K A269942 sign,tabf %O A269942 0,8 %A A269942 _Peter Luschny_, Mar 08 2016