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A041481 Denominators of continued fraction convergents to sqrt(257). 2
1, 32, 1025, 32832, 1051649, 33685600, 1078990849, 34561392768, 1107043559425, 35459955294368, 1135825612979201, 36381879570628800, 1165355971873100801, 37327772979509854432, 1195654091316188442625, 38298258695097540018432, 1226739932334437469032449 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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).

FORMULA

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]

MATHEMATICA

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 *)

CROSSREFS

Cf. A041480, A040240.

Sequence in context: A171306 A009976 A144319 * A158685 A265021 A159360

Adjacent sequences:  A041478 A041479 A041480 * A041482 A041483 A041484

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 18 2013

STATUS

approved

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Last modified November 20 04:05 EST 2017. Contains 294959 sequences.