A041961 Denominators of continued fraction convergents to sqrt(503).

1, 2, 5, 7, 152, 159, 470, 1099, 48826, 98751, 246328, 345079, 7492987, 7838066, 23169119, 54176304, 2406926495, 4868029294, 12142985083, 17011014377, 369374287000, 386385301377, 1142144889754, 2670675080885, 118651848448694, 239974371978273, 598600592405240

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,49296,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^14 -2*x^13 +5*x^12 -7*x^11 +152*x^10 -159*x^9 +470*x^8 -1099*x^7 -470*x^6 -159*x^5 -152*x^4 -7*x^3 -5*x^2 -2*x -1) / (x^16 -49296*x^8 +1). - Colin Barker, Nov 28 2013

Mathematica

Denominator[Convergents[Sqrt[503], 30]] (* Vincenzo Librandi, Dec 28 2013 *)

Crossrefs

Cf. A041960, A040480.

Sequence in context: A103056 A041445 A265815 * A242169 A058854 A006275

Adjacent sequences: A041958 A041959 A041960 * A041962 A041963 A041964

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 28 2013

Status

approved