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.

A025163 The value of the associated Legendre Polynomial of index n and order 1 evaluated at x=2^(-1/2) multiplied by 2^(3*n/2-1).

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%I A025163 #14 Feb 07 2013 12:25:24
%S A025163 0,1,6,18,20,-90,-588,-1708,-1944,7110,47300,136092,156312,-528164,
%T A025163 -3540600,-10141080,-11703344
%N A025163 The value of the associated Legendre Polynomial of index n and order 1 evaluated at x=2^(-1/2) multiplied by 2^(3*n/2-1).
%C A025163 Conjecture: (-n+1)*a(n) +2*(2*n-1)*a(n-1) -8*n*a(n-2)=0. - _R. J. Mathar_, Feb 05 2013
%C A025163 This recurrence follows from the contiguous relation that relates the three Legendre Polynomials of the same order. _Wouter Meeussen_, Feb 06 2013
%H A025163 Wikipedia, <a href="http://en.wikipedia.org/wiki/Associated_Legendre_polynomials">Associated Legendre Polynomials</a>
%t A025163 Table[ -2^(-1 + (3*n)/2)*LegendreP[ n, 1, 1/Sqrt[ 2 ] ], {n, 0, 16} ]
%K A025163 sign
%O A025163 0,3
%A A025163 _Wouter Meeussen_