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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).
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
MATHEMATICA
Table[ -2^(-1 + (3*n)/2)*LegendreP[ n, 1, 1/Sqrt[ 2 ] ], {n, 0, 16} ]
CROSSREFS
Sequence in context: A107405 A372438 A077663 * A186889 A022418 A350848
KEYWORD
sign
STATUS
approved