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A041968 Numerators of continued fraction convergents to sqrt(507). 2
22, 23, 45, 653, 698, 1351, 60142, 61493, 121635, 1764383, 1886018, 3650401, 162503662, 166154063, 328657725, 4767362213, 5096019938, 9863382151, 439084834582, 448948216733, 888033051315, 12881410935143, 13769443986458, 26650854921601, 1186407060536902 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

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, 2702, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^11 -22*x^10 +23*x^9 -45*x^8 +653*x^7 -698*x^6 -1351*x^5 -698*x^4 -653*x^3 -45*x^2 -23*x -22) / ((x^2 -4*x +1)*(x^2 +4*x +1)*(x^4 -4*x^3 +15*x^2 -4*x +1)*(x^4 +4*x^3 +15*x^2 +4*x +1)). - Colin Barker, Nov 28 2013

MATHEMATICA

Numerator[Convergents[Sqrt[507], 30]] (* Vincenzo Librandi, Nov 12 2013 *)

CROSSREFS

Cf. A041969, A040484.

Sequence in context: A041974 A041972 A041970 * A041986 A041988 A041984

Adjacent sequences:  A041965 A041966 A041967 * A041969 A041970 A041971

KEYWORD

nonn,cofr,frac,easy,less

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 28 2013

STATUS

approved

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Last modified August 3 14:30 EDT 2021. Contains 346438 sequences. (Running on oeis4.)