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 A109962 #14 May 26 2025 09:52:23 %S A109962 1,-1,1,4,-5,1,-22,30,-9,1,140,-200,72,-13,1,-969,1425,-570,130,-17,1, %T A109962 7084,-10626,4554,-1196,204,-21,1,-53820,81900,-36855,10647,-2142,294, %U A109962 -25,1,420732,-647280,302064,-93496,21080,-3472,400,-29,1,-3362260,5217300,-2504304,816816,-200277,37485,-5250,522 %N A109962 Inverse of Riordan array (1/(1-x), x/(1-x)^4), A109960. %C A109962 Riordan array (g,f) where f/(1-f)^4=x and g=1/(1-f). First column is (-1)^n*A002293(n). Diagonal sums are A109963. %H A109962 Paul Barry, <a href="https://arxiv.org/abs/2505.16718">d-orthogonal polynomials, Fuss-Catalan matrices and lattice paths</a>, arXiv:2505.16718 [math.CO], 2025. See p. 14. %H A109962 Paul Drube, <a href="https://arxiv.org/abs/2007.01892">Generalized Path Pairs and Fuss-Catalan Triangles</a>, arXiv:2007.01892 [math.CO], 2020. See Figure 4 p. 8 (up to signs). %F A109962 Number triangle T(n, k)=(-1)^(n-k)*((4k+1)/(3n+k+1))*binomial(4n, n-k). %e A109962 Triangle begins: %e A109962 1; %e A109962 -1, 1; %e A109962 4, -5, 1; %e A109962 -22, 30, -9, 1; %e A109962 140, -200, 72, -13, 1; %e A109962 -969, 1425, -570, 130, -17, 1; %e A109962 ... %Y A109962 Cf. A002293, A109960, A109963. %K A109962 easy,sign,tabl %O A109962 0,4 %A A109962 _Paul Barry_, Jul 06 2005