%I A137274
%S A137274 0,2,24,900,80640,14288400,4400827200,2156641086600,1577763611424000,
%T A137274 1642267210487904000,2342289079736686080000
%V A137274 0,2,-24,900,-80640,14288400,-4400827200,2156641086600,-1577763611424000,
%W A137274 1642267210487904000,-2342289079736686080000
%N A137274 Even terms in the Taylor series for the Fisher Information of a Rice-distributed 
               variable (at amplitude 0, with sigma==1).
%C A137274 The odd terms of this Taylor expansion are zero.
%F A137274 Integrate[ D[ x*exp( -(A^2 + x^2)/2 ) * BesselI[0,A*x] * (A-x*BesselI[1,
               A*x]/BesselI[0,A*x])^2, {A,2*k}], {x,0,\[Infinity]},Assumptions -> 
               {A == 0}]
%Y A137274 Sequence in context: A099704 A012186 A012081 this_sequence A002032 A015212 
               A012228
%Y A137274 Adjacent sequences: A137271 A137272 A137273 this_sequence A137275 A137276 
               A137277
%K A137274 sign,more
%O A137274 0,2
%A A137274 D. H. J. Poot (dirk.poot(AT)ua.ac.be), Mar 13 2008