A041822 Numerators of continued fraction convergents to sqrt(432).

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

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