A041725 Denominators of continued fraction convergents to sqrt(382).

1, 1, 2, 11, 134, 145, 859, 1004, 1863, 4730, 16053, 20783, 390147, 410930, 1622937, 3656804, 5279741, 8936545, 49962466, 58899011, 756750598, 3842652001, 4599402599, 8442054600, 325397477399, 333839531999, 659237009398, 3630024578989, 44219531957266

Offset

0,3

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, 329996879998, 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) = 329996879998*a(n-24) - a(n-48) for n>47. - Vincenzo Librandi, Dec 23 2013

Maple

convert(sqrt(382), confrac, 30, cvgts): denom(cvgts); # Wesley Ivan Hurt, Dec 23 2013

Mathematica

Denominator[Convergents[Sqrt[382], 30]] (* Vincenzo Librandi, Dec 23 2013 *)

Crossrefs

Cf. A041724.

Sequence in context: A276030 A282855 A139387 * A330638 A296571 A077544

Adjacent sequences: A041722 A041723 A041724 * A041726 A041727 A041728

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Dec 23 2013

Status

approved