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 A256467 #9 Nov 13 2024 22:43:21 %S A256467 0,1,2,-9,28,-55,-234,5047,-59464,620433,-6210710,60312791,-552386988, %T A256467 4291343641,-14786103682,-469083221865,17904311480176, %U A256467 -458594711604703,10473023418660306,-228670491372982217,4899169866194557580,-104056906653521654679,2196053393686810460902 %N A256467 Inverse Lah transform of the squares. %F A256467 a(n) = Sum_{k=0..n}(-1)^(n-k)*(n-k)!*C(n,n-k)*C(n-1,n-k)*k^2. %F A256467 a(n) = (-1)^(n+1)*n!*hypergeom([2, 1-n], [1, 1], 1) for n>=1. %F A256467 D-finite with recurrence +(-n+1)*a(n) +(-2*n^2+3*n+4)*a(n-1) -(n-1)*(n-2)*(n+1)*a(n-2)=0. - _R. J. Mathar_, Jul 27 2022 %p A256467 a := n -> `if`(n=0,0, -(-1)^n*n!*hypergeom([2, 1-n], [1, 1], 1)): %p A256467 seq(simplify(a(n)), n=0..22); %Y A256467 Cf. A103194. %K A256467 sign %O A256467 0,3 %A A256467 _Peter Luschny_, Mar 30 2015