|
| |
|
|
A137274
|
|
Even terms in the Taylor series for the Fisher Information of a Rice-distributed variable (at amplitude 0, with sigma==1).
|
|
0
| |
|
|
0, 2, -24, 900, -80640, 14288400, -4400827200, 2156641086600, -1577763611424000, 1642267210487904000, -2342289079736686080000
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,2
|
|
|
COMMENTS
| The odd terms of this Taylor expansion are zero.
|
|
|
FORMULA
| 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}]
|
|
|
CROSSREFS
| Sequence in context: A172492 A012186 A012081 * A002032 A015212 A012228
Adjacent sequences: A137271 A137272 A137273 * A137275 A137276 A137277
|
|
|
KEYWORD
| sign,more
|
|
|
AUTHOR
| D. H. J. Poot (dirk.poot(AT)ua.ac.be), Mar 13 2008
|
| |
|
|
