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Search: id:A137274
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| A137274 |
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Even terms in the Taylor series for the Fisher Information of a Rice-distributed variable (at amplitude 0, with sigma==1). |
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+0
1
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| 0, 2, -24, 900, -80640, 14288400, -4400827200, 2156641086600, -1577763611424000, 1642267210487904000, -2342289079736686080000
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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The odd terms of this Taylor expansion are zero.
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FORMULA
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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}]
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CROSSREFS
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Sequence in context: A099704 A012186 A012081 this_sequence A002032 A015212 A012228
Adjacent sequences: A137271 A137272 A137273 this_sequence A137275 A137276 A137277
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KEYWORD
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sign,more
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AUTHOR
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D. H. J. Poot (dirk.poot(AT)ua.ac.be), Mar 13 2008
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