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Search: id:A042105
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| A042105 |
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Denominators of continued fraction convergents to sqrt(577). |
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+0
2
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| 1, 48, 2305, 110688, 5315329, 255246480, 12257146369, 588598272192, 28264974211585, 1357307360428272, 65179018274768641, 3129950184549323040, 150302787876642274561, 7217663768263378501968, 346598163664518810369025
(list; graph; listen)
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OFFSET
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0,2
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LINKS
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Tanya Khovanova, Recursive Sequences
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FORMULA
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a(n)=F(n, 48), the n-th Fibonacci polynomial evaluated at x=48. - T. D. Noe (noe(AT)sspectra.com), Jan 19 2006
a(n)=48*a(n-1)+a(n-2), n>1 ; a(0)=1, a(1)=48 . G.f.: 1/(1-48*x-x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 23 2008]
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MATHEMATICA
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a=0; lst={}; s=0; Do[a=s-(a-1); AppendTo[lst, a]; s+=a*48, {n, 3*4!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 03 2009]
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CROSSREFS
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Cf. A042104.
Sequence in context: A063822 A158783 A009992 this_sequence A079240 A162700 A027567
Adjacent sequences: A042102 A042103 A042104 this_sequence A042106 A042107 A042108
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KEYWORD
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nonn,cofr,easy,new
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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