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A058308
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a(0)=0, a(1)=1, a(n)=a(n-2)+(n+2)*a(n-1).
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2
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0, 1, 4, 21, 130, 931, 7578, 69133, 698908, 7757121, 93784360, 1226953801, 17271137574, 260294017411, 4181975416150, 71353876091961, 1288551745071448, 24553837032449473, 492365292394060908, 10364224977307728541, 228505314793164088810
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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LINKS
| Russell Walsmith, F Sets in Context: Q-Sets
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FORMULA
| E.g.f.: -Pi*(BesselY(4, 2*I)*BesselI(3, 2*sqrt(1-x)) - I*BesselI(4, 2)*BesselY(3, 2*I*sqrt(1-x)))/(1-x)^(3/2). Such e.g.f. computations were the result of an e-mail exchange with Gary Detlefs. After differentiation and putting x=0 one has to use simplifications. See the Abramowitz-Stegun handbook, p.360, 9.1.16 and p.375, 9.63. [From Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), May 19 2010]
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MATHEMATICA
| RecurrenceTable[{a[0]==0, a[1]==1, a[n]==a[n-2]+(n+2)a[n-1]}, a[n], {n, 20}] (* From Harvey P. Dale, May 21 2011 *)
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CROSSREFS
| A column of A058294.
Similiar recurrences: A001040, A001053, A058279, A058307, A093858. [From Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), May 19 2010]
Sequence in context: A099250 A111177 A141052 * A078591 A090366 A131965
Adjacent sequences: A058305 A058306 A058307 * A058309 A058310 A058311
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Dec 09 2000
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