A041957 Denominators of continued fraction convergents to sqrt(501).

1, 2, 3, 5, 8, 13, 47, 389, 436, 1261, 13046, 14307, 84581, 183469, 2653147, 5489763, 30101962, 35591725, 386019212, 807630149, 1193649361, 10356825037, 32264124472, 42620949509, 74885073981, 117506023490, 192391097471, 502288218432, 22293072708479

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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22485463805950, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 22485463805950*a(n-28) - a(n-56) for n>55. - Vincenzo Librandi, Dec 27 2013

Mathematica

Denominator[Convergents[Sqrt[501], 30]] (* Harvey P. Dale, Oct 16 2013 *)

Crossrefs

Cf. A041956.

Sequence in context: A014259 A001129 A281599 * A329192 A294939 A096095

Adjacent sequences: A041954 A041955 A041956 * A041958 A041959 A041960

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Dec 27 2013

Status

approved