cp's OEIS Frontend

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.

A160706 Hankel transform of A052702(n+1).

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%I A160706 #11 Sep 08 2022 08:45:45
%S A160706 0,0,0,1,0,-1,-2,0,2,3,0,-3,-4,0,4,5,0,-5,-6,0,6,7,0,-7,-8,0,8,9,0,-9,
%T A160706 -10,0,10,11,0,-11,-12,0,12,13,0,-13,-14,0,14,15,0,-15,-16,0,16,17,0,
%U A160706 -17,-18,0,18,19,0,-19,-20
%N A160706 Hankel transform of A052702(n+1).
%C A160706 a(n+5) is the Hankel transform of A052702(n+3).
%H A160706 G. C. Greubel, <a href="/A160706/b160706.txt">Table of n, a(n) for n = 0..1000</a>
%H A160706 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (1,-1,-1,1,-1).
%F A160706 G.f.: x^3*(1-x^2)/(1 + x^3)^2.
%t A160706 LinearRecurrence[{1, -1, -1, 1, -1}, {0, 0, 0, 1, 0}, 100] (* _G. C. Greubel_, May 02 2018 *)
%o A160706 (PARI) x='x+O('x^50); concat([0,0,0], Vec(x^3*(1-x^2)/(1 + x^3)^2)) \\ _G. C. Greubel_, May 02 2018
%o A160706 (Magma) m:=50; R<x>:=PowerSeriesRing(Integers(), m); [0,0,0] cat Coefficients(R!(x^3*(1-x^2)/(1 + x^3)^2));  // _G. C. Greubel_, May 02 2018
%K A160706 easy,sign
%O A160706 0,7
%A A160706 _Paul Barry_, May 24 2009