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.

A201863 Let CZ(0,x)=1, CZ(1,x)=0 , CZ(2,x)=x^2-1 and CZ(n,x)=2*x*CZ(n-1,x) - CZ(n-2,x) for n > 2. This sequence is the triangle of polynomial coefficients in order of decreasing exponents.

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%I A201863 #18 Sep 08 2013 19:59:29
%S A201863 1,0,0,1,0,-1,2,0,-2,0,4,0,-5,0,1,8,0,-12,0,4,0,16,0,-28,0,13,0,-1,32,
%T A201863 0,-64,0,38,0,-6,0,64,0,-144,0,104,0,-25,0,1,128,0,-320,0,272,0,-88,0,
%U A201863 8,0,256,0,-704,0,688,0,-280,0,41,0,-1
%N A201863 Let CZ(0,x)=1, CZ(1,x)=0 , CZ(2,x)=x^2-1 and CZ(n,x)=2*x*CZ(n-1,x) - CZ(n-2,x) for n > 2. This sequence is the triangle of polynomial coefficients in order of decreasing exponents.
%C A201863 From (A039991 without 0's=) A028297 we wrote in A201509
%C A201863 1,  1,
%C A201863 2,  2,
%C A201863 4,  5, 1,
%C A201863 8, 12, 4.
%C A201863 Hence a(n) first coefficients:
%C A201863 1,
%C A201863 0, 0
%C A201863 1, 0,- 1,   x^2-1,
%C A201863 2, 0, -2, 0,
%C A201863 4, 0, -5, 0, 1
%C A201863 8, 0,-12, 0, 4, 0.
%C A201863 The first 1 is a choice.
%C A201863 Row sums=0.
%C A201863 Absolute value row sums: 1 before A163271.
%C A201863 First vertical:A034008=1 before A131577. Third:-A045623.
%C A201863 Mirror image of triangle in A076626. - _Philippe Deléham_, Dec 07 2011
%Y A201863 Cf. A039991, A201509.
%K A201863 sign,easy,tabl
%O A201863 0,7
%A A201863 _Paul Curtz_, Dec 06 2011