A041704 Numerators of continued fraction convergents to sqrt(372).

19, 58, 135, 1678, 3491, 12151, 465229, 1407838, 3280905, 40778698, 84838301, 295293601, 11305995139, 34213279018, 79732553175, 991003917118, 2061740387411, 7176225079351, 274758293402749, 831451105287598, 1937660503977945, 24083377153022938

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,24302,0,0,0,0,0,-1).

Formula

G.f.: -(x^11 -19*x^10 +58*x^9 -135*x^8 +1678*x^7 -3491*x^6 -12151*x^5 -3491*x^4 -1678*x^3 -135*x^2 -58*x -19) / ((x^4 -29*x^2 +1)*(x^8 +29*x^6 +840*x^4 +29*x^2 +1)). - Colin Barker, Nov 10 2013

Mathematica

Numerator[Convergents[Sqrt[372], 30]] (* Vincenzo Librandi, Nov 07 2013 *)

Crossrefs

Cf. A041705.

Sequence in context: A263336 A061973 A041702 * A041706 A042619 A141887

Adjacent sequences: A041701 A041702 A041703 * A041705 A041706 A041707

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms in Data from Colin Barker, Nov 10 2013

Status

approved