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).

0, 1, 6, 18, 20, -90, -588, -1708, -1944, 7110, 47300, 136092, 156312, -528164, -3540600, -10141080, -11703344

Offset

0,3

Comments

Conjecture: (-n+1)*a(n) +2*(2*n-1)*a(n-1) -8*n*a(n-2)=0. - R. J. Mathar, Feb 05 2013

This recurrence follows from the contiguous relation that relates the three Legendre Polynomials of the same order. Wouter Meeussen, Feb 06 2013

Links

Table of n, a(n) for n=0..16.

Wikipedia, Associated Legendre Polynomials

Mathematica

Table[ -2^(-1 + (3*n)/2)*LegendreP[ n, 1, 1/Sqrt[ 2 ] ], {n, 0, 16} ]

Crossrefs

Sequence in context: A124276 A107405 A077663 * A186889 A022418 A350848

Adjacent sequences: A025160 A025161 A025162 * A025164 A025165 A025166

Keyword

sign

Author

Wouter Meeussen

Status

approved