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A041549 Denominators of continued fraction convergents to sqrt(292). 2
1, 11, 23, 34, 125, 1034, 3227, 4261, 11749, 133500, 4550749, 50191739, 104934227, 155125966, 570312125, 4717622966, 14723181023, 19440803989, 53604789001, 609093483000, 20762783211001, 228999708804011, 478762200819023, 707761909623034, 2602047929688125 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,4562498,0,0,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^18 -11*x^17 +23*x^16 -34*x^15 +125*x^14 -1034*x^13 +3227*x^12 -4261*x^11 +11749*x^10 -133500*x^9 -11749*x^8 -4261*x^7 -3227*x^6 -1034*x^5 -125*x^4 -34*x^3 -23*x^2 -11*x -1) / ((x^10 -2136*x^5 -1)*(x^10 +2136*x^5 -1)). - Colin Barker, Nov 22 2013

a(n) = 4562498*a(n-10) - a(n-20) for n>19. - Vincenzo Librandi, Dec 20 2013

MATHEMATICA

Denominator[Convergents[Sqrt[292], 30]] (* Vincenzo Librandi, Dec 20 2013 *)

PROG

(MAGMA) I:=[1, 11, 23, 34, 125, 1034, 3227, 4261, 11749, 133500, 4550749, 50191739, 104934227, 155125966, 570312125, 4717622966, 14723181023, 19440803989, 53604789001, 609093483000]; [n le 20 select I[n] else 4562498*Self(n-10)-Self(n-20): n in [1..40]]; // Vincenzo Librandi, Dec 20 2013

CROSSREFS

Cf. A041548, A040274.

Sequence in context: A208326 A097657 A041234 * A136771 A017653 A180316

Adjacent sequences:  A041546 A041547 A041548 * A041550 A041551 A041552

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 22 2013

STATUS

approved

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Last modified December 11 06:52 EST 2018. Contains 318049 sequences. (Running on oeis4.)