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A041539 Denominators of continued fraction convergents to sqrt(286). 2
1, 1, 11, 34, 113, 260, 893, 2939, 30283, 33222, 1093387, 1126609, 12359477, 38205040, 126974597, 292154234, 1003437299, 3302466131, 34028098609, 37330564740, 1228606170289, 1265936735029, 13887973520579, 42929857296766, 142677545410877, 328284948118520 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,1123670,0,0,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^18 -x^17 +11*x^16 -34*x^15 +113*x^14 -260*x^13 +893*x^12 -2939*x^11 +30283*x^10 -33222*x^9 -30283*x^8 -2939*x^7 -893*x^6 -260*x^5 -113*x^4 -34*x^3 -11*x^2 -x -1) / (x^20 -1123670*x^10 +1). - Colin Barker, Nov 18 2013

a(n) = 1123670*a(n-10) - a(n-20) for n>19. - Vincenzo Librandi, Dec 19 2013

MATHEMATICA

Denominator[Convergents[Sqrt[286], 30]] (* Vincenzo Librandi, Dec 19 2013 *)

PROG

(MAGMA) I:=[1, 1, 11, 34, 113, 260, 893, 2939, 30283, 33222, 1093387, 1126609, 12359477, 38205040, 126974597, 292154234, 1003437299, 3302466131, 34028098609, 37330564740]; [n le 20 select I[n] else 1123670*Self(n-10)-Self(n-20): n in [1..40]]; // Vincenzo Librandi, Dec 19 2013

CROSSREFS

Cf. A041538, A040269.

Sequence in context: A211014 A103661 A300418 * A233933 A041232 A050287

Adjacent sequences:  A041536 A041537 A041538 * A041540 A041541 A041542

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 February 21 10:49 EST 2019. Contains 320372 sequences. (Running on oeis4.)