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A041822 Numerators of continued fraction convergents to sqrt(432). 2
20, 21, 83, 104, 187, 291, 1060, 1351, 55100, 56451, 224453, 280904, 505357, 786261, 2864140, 3650401, 148880180, 152530581, 606471923, 759002504, 1365474427, 2124476931, 7738905220, 9863382151, 402274191260, 412137573411, 1638686911493, 2050824484904 (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 (0,0,0,0,0,0,0,2702,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^15 -20*x^14 +21*x^13 -83*x^12 +104*x^11 -187*x^10 +291*x^9 -1060*x^8 -1351*x^7 -1060*x^6 -291*x^5 -187*x^4 -104*x^3 -83*x^2 -21*x -20) / ((x^8 -52*x^4 +1)*(x^8 +52*x^4 +1)). - Colin Barker, Nov 25 2013

MATHEMATICA

Numerator[Convergents[Sqrt[432], 30]] (* Vincenzo Librandi, Nov 09 2013 *)

CROSSREFS

Cf. A041823, A040411.

Sequence in context: A041816 A041814 A042865 * A041820 A329599 A041826

Adjacent sequences: A041819 A041820 A041821 * A041823 A041824 A041825

KEYWORD

nonn,cofr,frac,easy,less

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 25 2013

STATUS

approved

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Last modified January 29 17:53 EST 2023. Contains 359925 sequences. (Running on oeis4.)