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A041975 Denominators of continued fraction convergents to sqrt(510). 2
1, 1, 2, 5, 7, 12, 535, 547, 1082, 2711, 3793, 6504, 289969, 296473, 586442, 1469357, 2055799, 3525156, 157162663, 160687819, 317850482, 796388783, 1114239265, 1910628048, 85181873377, 87092501425, 172274374802, 431641251029, 603915625831, 1035556876860 (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 (0,0,0,0,0,542,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^4-x^3+2*x^2+x+1)*(x^6-6*x^3-1) / (x^12-542*x^6+1). - Colin Barker, Nov 28 2013

a(n) = 542*a(n-6) - a(n-12) for n>11. - Vincenzo Librandi, Dec 28 2013

MATHEMATICA

Denominator[Convergents[Sqrt[510], 30]] (* Harvey P. Dale, Mar 03 2013 *)

CoefficientList[Series[-(x^4 - x^3 + 2 x^2 + x + 1) (x^6 - 6 x^3 - 1)/(x^12 - 542 x^6 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 28 2013 *)

PROG

(MAGMA) I:=[1, 1, 2, 5, 7, 12, 535, 547, 1082, 2711, 3793, 6504]; [n le 12 select I[n] else 542*Self(n-6)-Self(n-12): n in [1..40]]; // Vincenzo Librandi, Dec 28 2013

CROSSREFS

Cf. A041974, A040487.

Sequence in context: A134472 A041203 A041517 * A042577 A092792 A238336

Adjacent sequences:  A041972 A041973 A041974 * A041976 A041977 A041978

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 28 2013

STATUS

approved

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Last modified May 29 02:45 EDT 2022. Contains 354122 sequences. (Running on oeis4.)