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A041481
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Denominators of continued fraction convergents to sqrt(257).
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2
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1, 32, 1025, 32832, 1051649, 33685600, 1078990849, 34561392768, 1107043559425, 35459955294368, 1135825612979201, 36381879570628800, 1165355971873100801, 37327772979509854432, 1195654091316188442625, 38298258695097540018432, 1226739932334437469032449
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OFFSET
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0,2
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..200
Tanya Khovanova, Recursive Sequences
Index entries for linear recurrences with constant coefficients, signature (32,1).
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FORMULA
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a(n) = F(n, 32), the n-th Fibonacci polynomial evaluated at x=32. - T. D. Noe, Jan 19 2006
a(n) = 32*a(n-1)+a(n-2) for n>1; a(0)=1, a(1)=32. G.f.: 1/(1-32*x-x^2). [Philippe Deléham, 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*32, {n, 3*4!}]; lst (* Vladimir Joseph Stephan Orlovsky, Oct 27 2009 *)
Denominator[Convergents[Sqrt[257], 30]] (* Vincenzo Librandi, Dec 18 2013 *)
LinearRecurrence[{32, 1}, {1, 32}, 30] (* Harvey P. Dale, Nov 03 2015 *)
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CROSSREFS
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Cf. A041480, A040240.
Sequence in context: A171306 A009976 A144319 * A158685 A265021 A159360
Adjacent sequences: A041478 A041479 A041480 * A041482 A041483 A041484
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KEYWORD
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nonn,frac,easy
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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More terms from Colin Barker, Nov 18 2013
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STATUS
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approved
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