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 A091029 #9 Aug 29 2019 17:59:47 %S A091029 1,3,-2,2,6,-9,3,15,0,-24,18,-4,5,69,-75,-20,60,-30,5,63,217,-462,225, %T A091029 80,-120,45,-6,14,462,300,-1848,1785,-525,-210,210,-63,7,252,2460, %U A091029 -1809,-4932,8428,-5208,1050,448,-336,84,-8,42,2556,9747,-18775,-2655,28296,-28182,12726,-1890,-840,504,-108,9 %N A091029 Signed array used for numerators of generating functions of the column sequences of array A090452. %C A091029 The row polynomials P(m,x) := sum(a(m,k)*x^k,k=0..kmax(m)),m>=2, where kmax(m) := floor(3*m/2)-3=A032766(m-2)=[0,1,3,4,6,7,9,10,...], appear in the numerator of the g.f.s of the columns of A090452. %C A091029 The sequence of the lengths of the rows is [1,2,4,5,7,8,10,11,13,14,...]=A001651(m-2)= floor((3*m-4)/2). %H A091029 W. Lang, <a href="/A091029/a091029.txt">First 9 rows</a>. %F A091029 a(m, k)=[x^k]P(m, x), with P(m, x) := ((1-x)^(2*m-3))*G(m, x)/x^ceiling(m/2) and the G(m, x) satisfy the hypergeometric differential difference eq. given in A090452. %e A091029 [1]; [3,-2]; [2,6,-9,3]; [15,0,-24,18,-4]; ... %e A091029 P(3,x)=3-2*x; P(5,x)=15-24*x^2+18*x^3-4*x^4. %K A091029 sign,tabf %O A091029 2,2 %A A091029 _Wolfdieter Lang_, Dec 23 2003