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A041145
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Denominators of continued fraction convergents to sqrt(82).
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2
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1, 18, 325, 5868, 105949, 1912950, 34539049, 623615832, 11259624025, 203296848282, 3670602893101, 66274148924100, 1196605283526901, 21605169252408318, 390089651826876625, 7043218902136187568
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| For n >=2, a(n) equals the permanent of the (n-1)X(n-1) tridiagonal matrix with 18's along the main diagonal, and 1's along the superdiagonal and the subdiagonal. [From John M. Campbell, Jul 08 2011]
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LINKS
| Tanya Khovanova, Recursive Sequences
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FORMULA
| a(n)=F(n, 18), the n-th Fibonacci polynomial evaluated at x=18. - T. D. Noe (noe(AT)sspectra.com), Jan 19 2006
a(n)=18*a(n-1)+a(n-2), n>1 ; a(0)=1, a(1)=18 . G.f.: 1/(1-18*x-x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 21 2008]
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MATHEMATICA
| a=0; lst={}; s=0; Do[a=s-(a-1); AppendTo[lst, a]; s+=a*18, {n, 3*4!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Oct 27 2009]
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CROSSREFS
| Cf. A041144.
Sequence in context: A187381 A171292 A001027 * A041614 A166787 A068771
Adjacent sequences: A041142 A041143 A041144 * A041146 A041147 A041148
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KEYWORD
| nonn,cofr,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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